Question

A tree on a hillside casts a shadow c = 235 ft down the hill. If the angle of inclination of the hillside is b = 23° to the horizontal and the angle of elevation of the sun is a = 53°, find the height of the tree. (Round your answer to the nearest foot.) ft

Name: a tree on a hillside casts a shadow c 235 ft down the hill if the angle of inclination of the hillside is b 23 to the horizontal and the angle of elevation of the sun is a 53 find the height 99802
Uploaded: 2021-11-05T21:23:18-08:00
Duration: 3 min 45 s
Channel: Teresa Fuston
Description: a tree on a hillside casts a shadow c 235 ft down the hill if the angle of inclination of the hillside is b 23 to the horizontal and the angle of elevation of the sun is a 53 find the height 99802

          A tree on a hillside casts a shadow c = 235 ft down the hill. If
the angle of inclination of the hillside is b = 23° to the
horizontal and the angle of elevation of the sun is a = 53°, find
the height of the tree. (Round your answer to the nearest foot.)
ft

Added by Steven B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

11/05/2021

Step 1

Using sine function: sin(53°) = height of tree / length of shadow height of tree = c * sin(53°) height of tree = 235 * sin(53°) height of tree ≈ 187.68 ft Show more…

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A tree on a hillside casts a shadow c = 235 ft down the hill. If the angle of inclination of the hillside is b = 23° to the horizontal and the angle of elevation of the sun is a = 53°, find the height of the tree. (Round your answer to the nearest foot.) ft