We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.
First of all, we will draw a right triangle using our given information.
We can see that US is opposite to angle T and ST is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.
Now we will use arcsin to solve for measure of angle T as:
Upon rounding to nearest degree, we will get:
Therefore, the measure of angle T is approximately 24 degrees.
