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

Answer:

C. 45

Step-by-step explanation:

Answer 2

Answer:

Option C) 45°  

Step-by-step 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:

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

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

Option C) 45°