Question

A building which is 30 feet tall casts a 5-foot shadow. What is the angle of elevation?

A) 0.11 degrees.
B) 80.54 degrees.
C) 80.41 degrees.
D) none of the above.

Answer 1

The angle of elevation of the building is approximately 80.54 degrees.

Step-by-step explanation:

To find the angle of elevation, we can use the properties of similar triangles.

Let's call the height of the building h and the length of the shadow s.

According to the given information, h = 30 feet and s = 5 feet.

We can set up a proportion: h/s = tan(angle of elevation).

Plugging in the values, we have 30/5 = tan(angle of elevation).

Simplifying, we get 6 = tan(angle of elevation).

Using the inverse tangent function on both sides, we find that the angle of elevation is approximately 80.54 degrees.

So the correct answer is B) 80.54 degrees.