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 anWhich expression shows the length, BC, of the base of the stand? (6 points)Select one:a. 7 divided by cot 55 degreesb. 7 cos 55°c. 7 divided by sin 55 degreesd. 7 cot 55°

Answer 1

The triangle above is a right angle triangle . The side AC is the opposite side. Side AB is the hypotenuse angle while the side BC is the adjacent side.

Using SOHCAHTOA principle we can find the side BC

Let us use tan

tan 55 degree = opposite/adjacent

cot is the inverse of tan

therefore,

cot 55 degree = 1/tan 55 degree

cot 55 degree = adjacent/opposite

cot 55 degree = BC/7

cross multiply

BC = 7 cot 55 degree

The answer is d