- #1
LordofDirT
- 15
- 0
"To Estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32 degrees. One thousand feet closer to the mountain along the plain, it is found that the angle of eleveation is 35 degrees. Estimate the height of the mountain."
First I drew the picture out and constructed a straight vertical line 1000ft from the vertex. I labeled the unknown part of the triangle's base as x-1000. From there I can find all the side lengths of the small right triangle using the trigonometric ratios. I know that the smallest right triangle is similar to the the one with side x, but I don't know how to apply this in finding the height (y), of the right triangle (mountain).
First I drew the picture out and constructed a straight vertical line 1000ft from the vertex. I labeled the unknown part of the triangle's base as x-1000. From there I can find all the side lengths of the small right triangle using the trigonometric ratios. I know that the smallest right triangle is similar to the the one with side x, but I don't know how to apply this in finding the height (y), of the right triangle (mountain).