Question

Which equation can be used to solve for b? Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b. tan(30o) = StartFraction 5 Over b EndFraction tan(30o) = StartFraction b Over 5 EndFraction tan(30o) = StartFraction 10 Over b EndFraction tan(30o) =

Answer 1

The equation that can be used to solve for b is tan(30°) = b/5, and the value of b is 2.885 cm.

The equation that can be used to solve for b in the image you sent is:

tan(30°) = b/5

This is because we have a right triangle with a known angle of 30° and a known side length of 5 cm. The side length that we are trying to solve for is opposite the 30° angle, so we can use the tangent function to relate the two sides.

To solve for b, we can multiply both sides of the equation by 5:

b = 5 * tan(30°)

Using the calculator, we find that:

b = 5 * 0.577 = 2.885

Therefore, the equation that can be used to solve for b is tan(30°) = b/5, and the value of b is 2.885 cm.

Question

Which equation can be used to solve for b?