Question

find the angle of elevation, to the nearest degree of the sun if a 35 foot building casts a 10 foot shadow a) 78 degrees b) 74 degrees c) 32 degrees d) 43 degrees

Answer 1

To find the angle of elevation of the sun, we can use the concept of similar triangles and set up a proportion. The angle of elevation is approximately 74 degrees.

Step-by-step explanation:

To find the angle of elevation of the sun, we can use the concept of similar triangles. The height of the building is 35 feet and the length of its shadow is 10 feet. Let's call the angle of elevation of the sun as x. We can set up the following proportion:

35 feet / 10 feet = tan(x)

Using a calculator, we can find that the angle of elevation is approximately 74 degrees. Therefore, the correct answer is (b) 74 degrees.