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

BC =
`(7)/(tan55)`

Explanation:

tan 55° =
`(opposite)/(adjacent)` =
`(AC)/(BC)` =
`(7)/(BC)` ( multiply both sides by BC )

tan55° × BC = 7 ( divide both sides by tan55° )

BC =
`(7)/(tan55)`