SOLUTION: A boulder 10m high is on edge of a cliff. From a point on the ground 200 ft away from the foot of the cliff, the angles of elevation of the top and bottom of the boulder are 60 deg

Algebra ->  Pythagorean-theorem -> SOLUTION: A boulder 10m high is on edge of a cliff. From a point on the ground 200 ft away from the foot of the cliff, the angles of elevation of the top and bottom of the boulder are 60 deg      Log On


   



Question 166999: A boulder 10m high is on edge of a cliff. From a point on the ground 200 ft away from the foot of the cliff, the angles of elevation of the top and bottom of the boulder are 60 degrees and 40 degrees respectively. How high is the cliff?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Using the law of tan we have the opposite/adjacent:
t(40)=x/200
.839=x/200
x=.839*200
x=167.82 meters is the height of the cliff.