Bizarre SAT Math Prob

Discus: SAT/ACT Tests and Test Preparation: May 2004 Archive: Bizarre SAT Math Prob
 By Nyu2010 (Nyu2010) on Wednesday, May 26, 2004 - 09:07 pm: Edit

HELP please with this bizarre math problem:

"Mr. Diego" used a theodolite to map a region of land for his class in geomorhphology. To determine the elevation of a vertical rock formation, he measured the distance from the base of the formation to his position and the angle between the ground and the line of sight to the top of the formation. The distance was 43 meters and the angle was 36 degrees (triangle). What is the height of the formation to the nearest meter?

Thank you!

 By Qwert271 (Qwert271) on Wednesday, May 26, 2004 - 09:11 pm: Edit

Just trig. Use tan(36)=(x/43) and solve for x.

 By Jenesaispas (Jenesaispas) on Wednesday, May 26, 2004 - 09:12 pm: Edit

It's just simple trig. The angle of elevation is 36 degrees. The leg adjacent to that angle is 43 m. Thus, you gotta employ tangent...

Tan x = opp leg/adj. leg
So, Tan (36)=h/43...etc.