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

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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?
Transcribed Image Text: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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