A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answers to two decimal places, as needed.

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

A:

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: At a point 45 feet from the base of a church, the angles of elevation to the bottom of the steeple…

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Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How long would a ladder need to be to reach 19 ft high, if it placed so that the base of the ladder…

A: The objective of the question is determine the length of the ladder.

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

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Q: The top of a 190-foot vertical tower is to be anchored by cables that make an angle of 30° with the…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

A:

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A:

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: A ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: In a circle of radius 60cm an arc 116cm long subtends an angle of how many​ radians? How many​…

A:

Q: A wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest…

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 -  inches.Here, 1…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A:

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: player is

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

A:

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.