Question

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? cow 7.4 ft. 13.8 ft. 11.1 ft. 9 ft. SU

Answer 1

This is a question involving the angle of elevation

To obtain the height, h, we can make use of the trigonometric function

Tangent = opposite / adjacent

The opposite angle to 48 degrees is h

The adjacent is 10 ft

`\begin{gathered} \tan \text{ }\theta\text{ =}(opposite)/(adjacent) \\ \\ \tan \text{ 48 =}(h)/(10) \end{gathered}`

To get h, we can cross multiply

h = 10 x tan 48

h = 10 x 1.11

h = 11.1 ft