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you are standing 20 feet away from a tree, and you measure the angle of elevation to be 38 degrees. How tall is the tree?

Respuesta :

Answer:

20.63ft


Step-by-step explanation:

The solution depends on your height, as you measure the angle of elevation from your line of sight. Assume that you are 5 feet tall.

The figure shows us that once we find the value of T, we have to add 5 feet to this value to find the total height of the triangle. To find T, you should use the tangent value:

tan38∘=opposite/adjacent=T/20

tan38∘T/20

T=20 tan 38∘ ≈ 15.63

Height of tree≈20.63ft


The height of the tree will be 15.63 feet.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

You are standing 20 feet away from a tree and you measure the angle of elevation to be 38 degrees.

Let x be the height of the tree.

Then the height of the tree will be

tan 38° = x / 20

x = 15.625

x ≅ 15.63 feet

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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