Question

Find x

A: 11.2
B: 13.1
C: 9.2
D: 22.9

Answer 1

Hi there!

`\large{tan35\degree = (x)/(16) }`

We can also use the other angle but I will focus on 35°.

The reason why we use the equation above because tan is equivalent to opposite/adjacent

From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.

Define theta = 35°. Thus, the equation would be tan35° = x/16.

Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)

`\large{0.7 = (x)/(16) }`

Then solve the equation for x-term.

`\large{0.7 * 16 = x} \\ \large{x = 11.2}`

Hence, the value of x is 11.2

Answer

• 11.2

Questions about the problem be asked through comment.

Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.

Hope this helps, and Happy Learning! :)