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 55 degrees. The height of the stand is 7 inches.

Which expression shows the length, BC, of the base of the stand?

7 over tan 55 degrees
7(cos 55°)
7 over sin 55 degrees
7(tan 55°)

Answer 1

Does this look like the image they gave you?

Answer 2

If so, you need to know a little big of the basics of trigonometry

\(\sin(x) = \dfrac{\text{opposite side}}{\text{hypotenuse}}\)

\(\cos(x) = \dfrac{\text{adjacent side}}{\text{hypotenuse}}\)

\(\tan(x) = \dfrac{\text{opposite side}}{\text{adjacent side}}\)

Answer 3

Yes its perfect other than the fact the triangle is the other way but that doesnt matter, thank you!

Answer 4

Here's an image to help you see what I mean by adjacent side of opposite side

Answer 5

That's good! So we're looking for BC

Answer 6

We have an angle and we have two sides.

Which sides do we have? Do we have the hypotenuse, adjacent, opposite side? Which two sides do we have?
(And actually, this image might be more helpful haha)

Answer 7

@AZ Thank for everything

Answer 8

Of course! Did you find your answer? I'd be glad to check it for you :)

Answer 9

Here's a hint:



We're looking at the sides from the perspective of the angle \(\theta\)
The side opposite the angle (drawn by the arrow) is the opposite side

The longest side of the triangle (which is opposite of the 90 degrees) is the hypotenuse

And the other side will be the adjacent side

Answer 10

Does that help you? @NatalieBM

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Does that help you? @NatalieBM
\(\color{#0cbb34}{\text{End of Quote}}\)
sure bye