A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.
A) 31°
B) 34°
C) 42°
D) 56°

Question

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree. 
  A)    31°    
  B)    34°    
  C)    42°    
  D)    56°

math_man21 · Answer

is this pythagorean theorem?

flowey15 · Answer

no,, because the answer isn't a choice

error1603 · Answer

Welcome! $\Huge\cal\rlap{\color{blue}{ERROR^lsa^21^3 \star}}{\color{lime}{\:ERROR^lsa^21^3 \star }}$

calculusxy · Answer

|dw:1461773294176:dw|

calculusxy · Answer

We need to find what $\theta$ would equal to. 

We do have the measurement of the side that is opposite and adjacent to the angle $\theta$. That means that we need use $\tan^{-1}$ because using the inverse tangent operation will help us find the angle measure of $\theta$. 

So what you would do is $\tan^{-1}(\frac{100}{150})$.

flowey15 · Answer

i don't have my calculator, that's my problem

calculusxy · Answer

Okay. So you could google "calculator" and they would provide you with a calculator.

calculusxy · Answer

https://www.google.com/?gws_rd=ssl#q=calculator

calculusxy · Answer

Did you get it?

flowey15 · Answer

no, i got this...........1.10714871779

calculusxy · Answer

So you should get 34 degrees.