Question

A garden in the shape of a right triangle is bordered on one side by a brick wall, on another side by a wooden fence, and on the third side by grass. What is the measure of the angle formed by the wooden fence and the grass?

Round only your final answer to the nearest degree.

Answer 1

`color(blue)(32^@)`

Explanation:

From the diagram we need to find angle `theta`

Using the tangent function, we have:

`tan(theta)="opposite"/"adjacent"=13/21`

Using the inverse function of this:

`theta=arctan(13/21)=31.75948008^@=32^@` nearest degree