Question

The picture below shows a right-triangle-shaped charging stand for a gaming system:The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees, and the measure of angle ABC is 60 degrees. The length, BC, of the side adjacent to the angle ABC is 8 inches.Which expression shows the length of side AB? 8(cos 60°) 8 over sin 60 degrees 8 over cos 60 degrees 8(tan 60°)

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

right triangle:

side BC = 8 in

angle = 60°

Step 02:

We must analyze the shape to find the solution.

side AB:

side AB = hypotenuse

side BC = adjacent

cos α = adjacent / hypotenuse

$\begin{gathered} cos\text{ 60}\degree=\frac{8\text{ in}}{AB} \\ \\ AB\text{ * cos 60}\degree\text{= 8 in} \\ \\ AB\text{ = }\frac{8\text{ in}}{cos\text{ 60}\degree} \end{gathered}$

The answer is:

AB = 8 in / cos 60°

(8 over cos 60 degrees)