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 50 degrees. Side bc measures 3 inches. Which expression shows the height, ac, of the charging stand? 3 over cos 50 degrees 3(tan 50°) 3 over tan 50 degrees 3(cos 50°).

Answer 1

The expression for the height of the stand is:

ac = 3in*tan(50°).

How to get the height of the charging stand?

We have the right triangle abc.

We know that:

• c = 90°
• b = 50°
• bc = 3 inches.

We want to get the length of ac.

Notice that ac is the opposite cathetus to angle b, which measures 50°.

Then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

Then we will have:

tan(50°) = ac/bc

We can replace bc by its length:

tan(50°) = ac/3in

3in*tan(50°) = ac.

This is the expression for the height of the stand.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

Answer 2

Answer:

Its 3(tan 50)

Explanation:

I got it right on my test