An ant looks up to the top of a tree with an angle of elevation of . If the ant is 43 feet from the base of the tree, what is the height of the tree, to the nearest tenth?

Question

johnweldon1993 · Answer

We need that angle of elevation first

anonymous · Answer

38 degrees

johnweldon1993 · Answer

|dw:1373465085738:dw|

You would use the tangent function to solve this...because you have the side opposite the angle that you want...and the side adjacent to the angle that you have

johnweldon1993 · Answer

|dw:1373465170963:dw|

johnweldon1993 · Answer

So you would do

$$\tan 38 = \frac{ x }{ 43 }$$

and solve for 'x'

anonymous · Answer

I solved for 'x' (or tried) and I got  55.03 which is not one of the answers

johnweldon1993 · Answer

What did you do to solve for 'x'?

what you should have as an equation is

$$\tan (38) \times 43 = x$$

so put your calculator in "degree" mode...and do that calculation

johnweldon1993 · Answer

for tan38 you should be getting 0.7812856265

anonymous · Answer

My calculator wasnt in degree mode. I got it

johnweldon1993 · Answer

Ahh ...alright good work!