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? 57° 50° 40° 33°

Answer 1

50
GOOD LUCK


......................

Answer 2

Answer:

50°

Explanation:

In order to solve this we just have to remember the law os sines, cosine and tangent, in this case we will ue tangent since that involves using te adjacent side and the opposite, and we have both se we just solve the formula of tangent for angle:

$Tan(Angle)=\frac{opposite}{Adjacent}\\ Angle= Tan-1\frac{opposite}{Adjacent}$

Now we insert the data that we knwo into the formula:

$Angle= Tan-1\frac{opposite}{Adjacent}\\\\ Angle= Tan-1\frac{396}{332}\\\\Angle=50,02$

Since there is no option with 50,02 we will use 50º as our correct option.