Question

The circle has a radius of r and center at C. the distance from a to B is Y. if C equals 37° and r equals 21 then Y =

Answer 1

EXPLANATION

Given that the cirle has a radius r, a center C and a distance from A to B equal to y, we can apply the trigonometric relationship in order to get the value of y as shown as follows:

`\tan C=\frac{Opposite}{\text{Adjacent}}=(AB)/(CB)`

Replacing terms:

`\tan 37=(y)/(21)`

Multiplying y to both sides:

`21\cdot\tan 37=y`

Solving the arguments:

`15.82=y`

Switching sides:

`y=15.82`

The solution is y=15.82