Question

In right triangle ABC, ∠B is the right angle, and m∠C = 30°. If AC = 10, what is AB?

A) 5
B) 5√3
C) 10
D) 10√3

Answer 1

To find the length of AB in a right triangle ABC with AC = 10 and angle C = 30 degrees, we can use the sine function. The length of AB is 5.

Step-by-step explanation:

To find the length of AB in right triangle ABC, we can use the trigonometric ratios.

Since angle C is 30 degrees and angle B is 90 degrees, we can use the sine function.

The sine of angle C is opposite/hypotenuse, which is AB/AC. So, sin(30) = AB/10.

Rearranging the equation, we get AB = 10*sin(30) = 5.