Question

What is the measure of the angle identified with the? In the diagram

Answer 1

Let the required angle = x

As shown in the figure :

There is a right triangle , the hypotenuse of the triangle = 90 feet

The adjacent side to the angle x = 45 feet

So, we can use the cosine function to find the angle

`\begin{gathered} \cos x=(adjacent)/(hypotenuse) \\ \\ \cos x=(45)/(90)=(1)/(2)=0.5 \\ \\ x=\cos ^(-1)0.5=60 \end{gathered}`

So, the answer is : the measure of the angle = 60