Question

Measure angle of A= 65°, b= 15, c=? (Round answers to the nearest hundredth.)

Answer 1

c = 35.493

Explanation:

Because this is a right triangle, we can use one of the trigonometric ratios to solve for c.

If we allow angle A to be our reference angle, we see that b is the side adjacent to angle A and side c is the hypotenuse. Thus, we can use the cosine ratio as

`cosine(x)=(adjacent)/(hypotenuse)`

In context of the problem, we can rewrite the equation as

`cos(65)=(15)/(c)`, where we're solving for c:

`c*cos(65)=15\\c=15/cos(65)\\c=35.49302375\\c=35.493`