Question

A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?

Answer 1

I believe it would be 50 degrees 

Answer 2

Answer:

The sun is at an angle of 50.02° above the horizon at that time.

Step-by-step explanation:

A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long.

From the given attachment, in the right angled triangle ABC, AC is the skyscraper and BC is its shadow.

The angle that the sun is above the horizon is the angle of elevation or ∠B.

We know that,

$\tan \theta=\dfrac{p}{b}$

Putting the values,

$\Rightarrow \tan B=\dfrac{AC}{BC}$

$\Rightarrow \tan B=\dfrac{396}{332}$

$\Rightarrow B=\tan^{-1}\dfrac{396}{332}$

$\Rightarrow B=50.02^{\circ \:}$