Finding tree height from distance and angle of elevation

[bengaltiger14]

Suppose there is a tree of unknown height. I am standing 76 meters away from the tree and the top of the tree is 32 degrees from where I am standing. Could I find the height of the tree by this:

76 cos(32) =64
76 sin(32) =40

Magnitude = SQRT 64^2 + 40^2
Height of Tree equals 75 meters??

 

[brncsfns5621]

I may be wrong, but:

Opposite = adjacent * Tan angle
= 76 * Tan 32
= 47.5

Is that one of your answers? If not, forget I replied. :D

 

[bengaltiger14]

I think that is the right way. I think 47 meters is the correct answer.