Mathematics
01.01.2023 17:15
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Melissa is standing 40 ft from a tree. the angle of elevation from where she is

Melissa is standing 40 ft from a tree. the angle of elevation from where she is standing on the ground to the top of the tree is 50°. how tall is the tree? round the final answer to the nearest tenth. enter your answer in the box.
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isalybeaudion2205
isalybeaudion2205
4,9(76 marks)

47.7\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a right triangle the tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle

so

In this problem

tan(50\°)=\frac{BC}{AC}

The tall of the tree is BC

BC=ACtan(50\°)

AC=40\ ft

substitute

BC=40*tan(50\°)=47.7\ ft


Melissa is standing 40 ft from a tree. the angle of elevation from where she is standing on the grou
austinwst3
austinwst3
4,7(43 marks)

i'll join

Step-by-step explanation:

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