Answer:
x = 67.10° is the answer.
Step-by-step explanation:
The given triangle is a right angle triangle in which measure of angle is given as x°. Adjacent side (Base) of the angle x is 28 ft and largest side of the triangle (Hypotenuse) is of 72 ft.
We have to the value of x.
Now we find the cosine of angle x
cosx = [tex]\frac{\text{Base}}{\text{Hypotenuse}}[/tex]
cosx = [tex]\frac{28}{72}[/tex]
cosx = [tex]\frac{7}{18}[/tex] = 0.389
x = [tex]cos^{-1}(0.389)[/tex]
x = 67.10°
angle x = 67.10° is the answer.
