Answer:
see below
Step-by-step explanation:
1. opposite of cosine
Cosine = opposite/hypotenuse
There is a reciprocal of cosine called secant = hypotenuse / opposite
2. We want to find the height of the tower, y
tan C = y/ x
tan 60 = y/15
Multiply each side by 15
15 tan 60 =y/15 *15
15 tan 60 =y
25.98076211 = y
The height is 25.98076211 m or approximately 26 m
3. The angle to the nearest degree
tan ? = opposite/ adjacent
tan ? = 27/38
Taking the inverse
tan^-1 (tan ?) = tan ^-1 (27/38)
? =35.39479584
To the nearest degree = 35