Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Find ST.

Write your answer as an integer or as a decimal rounded to the nearest tenth.


ST =

Answer 1

Answer:

The answer to your question is ST = 7.2

Step-by-step explanation:

Data

angle = 56°

hypotenuse = ST = ?

adjacent side = TU = 4

Process

Use trigonometric functions to solve this problem. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

                 cos α = $\frac{adjacent side}{hypotenuse}$

Solve for hypotenuse

                 hypotenuse = $\frac{adjacent side}{cos \alpha }$

Substitution

                 hypotenuse = $\frac{4}{cos 56}$

Simplification and result

                 hypotenuse = 7.15

Answer 2

Answer:

Step-by-step explanation:

Triangle STU is a right angle triangle.

From the given right angle triangle

ST represents the hypotenuse of the right angle triangle.

With ∠T as the reference angle,

TU represents the adjacent side of the right angle triangle.

SU represents the opposite side of the right angle triangle.

To determine ST, we would apply the Cosine trigonometric ratio

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 56 = 4/ST

0.5592 = 4/ST

ST = 4/0.5592

ST = 7.2 to the nearest tenth