Question

1) A building is 190 feet tall and has a shadow that is also 190 feet. Determine the angle of elevation from the tip of the shadow to the top of the building. A) 15° B) 30° C) 45° D) 60°

Answer 1

C. 45

Explanation:

Answer 2

Option C) 45°

Explanation:

We are given the following in the question:

Height of building = 190 feet

Length of shadow = 190 feet

Let
`\theta` be the angle of elevation from the tip of the shadow to the top of the building.

Relation:

`\tan \theta = \frac{\text{Perpendicular}}{\text{Base}}\\\\\Rightarrow \tan \theta = \frac{\text{Height of building}}{\text{Length of shadow}}\\\\\Rightarrow \tan \theta = (19)/(19)=1\\\\\Rightarrow \theta = \tan^(-1)(1)\\\Rightarrow \theta = 45^\circ`

Thus, the angle of elevation from the tip of the shadow to the top of the building is

Option C) 45°