Question

Type the correct answer in the box. round your answer to the nearest integer. imagine you are standing 20 feet away from a tree that is 80 feet tall. the angle that your feet make with the top of the tree is blank �.

Answer 1

The angle that my feet make with the top of the tree is 23 degrees.

Explanation:

The angle that my feet make with the top of the tree is approximately 23 degrees. To calculate this, I used the tangent function, which is the opposite side (80 feet) divided by the adjacent side (20 feet).

Answer 2

76°

Explanation:

To solve this equation, we need to use Trigonometric ratios. In this particular example, we need to use tangent because we only know the value of 2 legs and not hypotnuse.

To make this problem simpler, what I do is I sketch the triangle according to details given. When I sketch the triangle correctly, I understand that 20ft is adjacent leg from the unknown angle we are trying to figure out, and 80ft is opposite leg of the same angle.

Now that we know all this, we can use tangent to figure out what the tangent value is of the unknown angle, Tan(
`\alpha`°)=80/20

Tan(
`\alpha`°)=4

Now that we know the tangent value of the unknown angle, we can figure out the actual value by using Ti-84 calculator step-by-step:

turn on the calculator------->press 2nd------>press TAN------->press 4------>press close parentheses )--------->press enter

Now calculator should say 75.9637565......

the problem said that we have to round to the nearest integer which would be 76°

Hope I was of any help, let me know if you have any questions, I'll be glad to answer.