Angles of Elevation and Depression TASKSolve for the unknown for each problem.1. When the angle of elevation of the sun is 46°, the building casts a horizontalshadow of 60m. How high is the building?2. The angle of depression of boat A from the top of a cliff which is 35m high is22°. The angle of depression of a second boat B is 17°. Find the distance betweentwo boats.3. The angle of depression from the top of a building to a point on the ground is38°22'. How far is the point on the ground from the top of the building if thebuilding is 444m high?4. From a given point on the ground, Kurt finds that the angle of elevation to thetop of a tree is 31°42'. He then moves back 50 feet. From the second point, theangle of elevation to the top of the tree is 22°10'. How high is the tree?5. From the third floor window of a building, the angle of depression of the objecton the ground is 35°58', while from the sixth floor window, 9.75m above the firstpoint of observation, the angle of depression is 58°35'. How far is the object fromthe building?

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Answered: 1. When the angle of elevation of the…

1. When the angle of elevation of the sun is 46°, the building casts a horizontal shadow of 60m. How high is the building?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...

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Concept explainers

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.

Question

Angles of Elevation and Depression

TASK
Solve for the unknown for each problem.
1. When the angle of elevation of the sun is 46°, the building casts a horizontal
shadow of 60m. How high is the building?
2. The angle of depression of boat A from the top of a cliff which is 35m high is
22°. The angle of depression of a second boat B is 17°. Find the distance between
two boats.
3. The angle of depression from the top of a building to a point on the ground is
38°22'. How far is the point on the ground from the top of the building if the
building is 444m high?
4. From a given point on the ground, Kurt finds that the angle of elevation to the
top of a tree is 31°42'. He then moves back 50 feet. From the second point, the
angle of elevation to the top of the tree is 22°10'. How high is the tree?
5. From the third floor window of a building, the angle of depression of the object
on the ground is 35°58', while from the sixth floor window, 9.75m above the first
point of observation, the angle of depression is 58°35'. How far is the object from
the building?

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