136k views
1 vote
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 =

The circle has a radius of r and center at C. the distance from a to B is Y. if C-example-1

1 Answer

7 votes

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

User Qubital
by
6.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories