In ΔTUV, the measure of ∠V=90°, the measure of ∠T=16°, and VT = 4.9 feet. Find the length of TU to the nearest tenth of a foot.

Given:

Given that TUV is a right triangle.

The measure of ∠T is 16°

The length of VT is 4.9 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

where , adj = TV and hyp = TU

Thus, we get;

Simplifying, we get;

Rounding off to the nearest tenth, we get;

Thus, the length of TU is 5.1 feet.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed