A monkey is hanging in a tree 70 feet tall and
spots a banana at a 42° angle of depression.

A = 77.74 ft

B = 70 ft

C = 104.62 ft

D = 42°

F = 42°

Step-by-step explanation:

Please find attached an image of the question the question

F = 42°

D = 42° (alternate angles are equal)

b = 70 feet

to determine the value of A which is the adjacent side and given the value of the opposite side, tan can be used

Tan 42 = opposite / adjacent

0.9004 = 70 / adjacent

adjacent  = 70 / 0.9004

= 77.74 ft

to determine the value of C which is the hypotenuse and given the value of the opposite side, sin can be used

Sin 42 = opposite /  hypotenuse

0.6991 = 70  /  hypotenuse

 hypotenuse = 70 / 0.6691

104.62 ft