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15-04-2021
Mathematics

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Mica stands 75 feet away from the base of a tree and looks up towards the top of the tree at a 51 degree angle.

Respuesta :

Manetho Manetho

15-04-2021

Answer:

Height of the tree = 92.61 feet

Step-by-step explanation:

Given: Distance between base of tree and Mica = 75 feet

Angle of elevation to the top of tree = 51°

Assuming we have to find the height of the tree = H

This can be found by applying simple trigonometry.

The height of the tree becomes perpendicular and distance between base of tree and Mica is base.

Then, tan51° = H/75

⇒ H = 75× tan51° = 92.61 feet

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