# From point 135 feet from the base of a tree, the angle from ground level to the top of the tree is 49* (degrees), how do you find the height of the tree?

##### 1 Answer

The height of the tree is

#### Explanation:

This involves trigonometric ratios. A key concept of remembering how to do this is learning soh-cah-toa. Strange right?

It helps to find sine, cosine, and tangent. For

#"Sin"= "opposite"/"hypotenuse"# #"Cos" = "adjacent"/"hypotenuse"# #"Tan" = "opposite"/"adjacent"#

It helps to draw out a picture . Ignore the poor drawing skills. Anyways, you can see it forms a right triangle.

When it labeled, you see we'll be using tangent, which is opposite over adjacent to find

Cross-mulitiply and you get

Plug that into the calculator and you get