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

User Bartosz Hernas
by
3.5k points

1 Answer

17 votes
17 votes

Answer:

A = 77.74 ft

B = 70 ft

C = 104.62 ft

D = 42°

F = 42°

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

A monkey is hanging in a tree 70 feet tall and spots a banana at a 42° angle of depression-example-1
A monkey is hanging in a tree 70 feet tall and spots a banana at a 42° angle of depression-example-2
User Theister
by
2.9k points