SOLUTION: A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from th

Algebra ->  Triangles -> SOLUTION: A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from th      Log On


   

Question 1107570: A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from the cat to the bird.
P.S can u also email me the answer choice and why
Found 2 solutions by josgarithmetic, TeachMath:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the figure to help understand the description clearly.

Let x be the angle of elevation asked for.

sin%28x%29=24%2Fsqrt%2824%5E2%2B12%5E2%29

sin%28x%29=2%2Fsqrt%285%29

You want arc whose sine is that numeric expression on the right.

sin%28x%29=0.89442
x=63.4 degrees

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
simple: tan(24/12) = tan 2 = 63.435 degrees