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mash [69]
3 years ago
5

A man who is 2 meters tall stands on level ground. He is 32 meters from the base of a tree. The angle of elevation of the top of

the tree from his line of sight is 25 degrees. Which equation can be used to solve for the height of the tree? (h = height of the tree)
Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

h = 16.92 m

Step-by-step explanation:

If you mean to man horizontal line of sight  then the height of the tree is:

h = 2m + x

x is one right side and second is distance from the base of a tree 32m.

Tangence in this right triangle is:

tan 25° = x / 32 => x = 32 · tan 25° = 32 · 0.4663 = 14.92m

h = 2 + 14.92 = 16.92m

God with you!!!

valentinak56 [21]3 years ago
5 0

Answer:

H=16.92 (MARK ME AS BRAINIEST)

Step-by-step explanation:

The side opposite 25° is the height of the tree. The side adjacent to 25° is the distance the man is standing from the tree.

tan 25°=  

opposite side

adjacent side

Let h-2 represent the height of the tree

h - 2) = 32 tan 25°

h - 2 = 14.92

h = 16.92 meters

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