Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.
x = ____
A right triangle with one leg labeled 28 feet and the hypotenuse labeled 72 feet. The angle that is between these two labeled sides is labeled x degrees.

Answer 1

the answer is 67.1

Step-by-step explanation:

because the person above said so

Answer 2

Answer:
x = 67.1°

Step-by-step explanation:
The triangle modeling the given scenario is shown in the attached picture.

Now, the given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, in the given triangle we have:
θ = x
hypotenuse = 72 feet
adjacent = 28 feet

Therefore, we can apply the cos function to get the angle as follows:
cos x = 28/72
cos x = 7/18
x = cos⁻¹(7/18)
x = 67.11 which is 67.1° to the nearest tenth.

Hope this helps :)