Question

Artie's dad's house is 21 ft tall. If Artie's dad is at the top of the house installing shingles, and his son Artie is on the ground 12 ft away from the base of his dad's house, what is the angle of depression from the top of the house to the spot where Artie is standing?

A. 46.56
B. 60.26
C. 161.62
D. 11.65

Answer 1

The answer is D

Explanation:

All you had to do was take

21 divide that by 12=1.75 but just think

tan=y so you would have to take the opposite divided by adjacent so

The opposite side in this case is usually the height of the observer or height in terms of location, for example, the height of a plane in the air. The adjacent is usually the horizontal distance between the object and the observer.

so you have to subtract 75-10=65 so then add the 10+1=11 so then you get 11.65 which is D

Answer 2

B) 60.26 degrees

Explanation:

The above picture might help you to visualise the problem better. Moreover, do also note that the angle of depression is calculated from the horizontal. Let a be the angle of depression.

tan a = opposite / adjacent

tan a = 21 / 12

a = tan inverse (21/12)

a = 60.26 degrees

Hence angle of depression is B) 60.26 degrees