Question

Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is c, A C is b, B C is a.

Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If Measure of angle B = 60 degreesº and a = 10 meters, find b.
a.
17.32 m
c.
14 m
b.
6.93 m
d.
9.99 m

Answer 1

To find the length of side b in a right triangle with side a as 10 meters and angle B at 60 degrees, we use the properties of a 30-60-90 triangle which results in b being approximately 17.32 meters.

The correct option is a.

Step-by-step explanation:

The student has asked to find the length of side b in a right triangle where side a is 10 meters and angle B is 60 degrees.

Using the properties of a 30-60-90 right triangle, we know that the side opposite the 30-degree angle (side a) is half the length of the hypotenuse (side c), and the side opposite the 60-degree angle (side b) is the length of side a times the square root of 3.

Thus, if side a is 10 meters, then side b would be 10 * √3, which gives us approximately 17.32 meters.