Answered

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From the top of a tower, the angle of depression to a flower on the ground
is 74º. The top of the tower is 90 feet above ground. How far is the flower
from the foot of the tower? (Round to 1 decimal place.) *

Sagot :

mathstudent55

Answer:

25.8 ft

Step-by-step explanation:

Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.

For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.

tan A = opp/adj

tan 16° = x/(90 ft)

x = 90 ft * tan 16°

x = 25.8 ft

Answer: 25.8 ft

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