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:

$\tan C=\frac{Opposite}{\text{Adjacent}}=\frac{AB}{CB}$

Replacing terms:

$\tan 37=\frac{y}{21}$

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