Posted by danica on Wednesday, November 2, 2011 at 6:52am.
R and S are in the same horizontal plane as the base of a cliff, but R is 132.6 meters nearer it than is S. They find the angles of elevation of the top of the cliff to be 32 degrees and 36 minutes and 63 degrees and 13 minutes. how high is the cliff?

trigonometry  Steve, Wednesday, November 2, 2011 at 12:23pm
Set up your diagram. If x is the distance of R from the cliff, and h is the cliff height,
S: h/(x+132.6) = tan 32°36' = 0.6395
R: h/x = tan 63°13' = 1.9811
Since h is the same in both equations,
.6395(x+132.6) = 1.9811x
.6395x + 84.7977 = 1.9811x
x = 63.2064
So, h = 63.2064 * 1.9811 = 125.2119
Answer This Question
Related Questions
 trig  A plane is flying 12,000 feet horizontally from a tall, vertical cliff. ...
 Trigonometry  A climber, working his way up a vertical cliff stops for a rest ...
 trigonometry  A lighthouse BC of unknown height stands on the edge of a cliff ...
 Sitintile senior secondary school  Calculate the height of a cliff PQ if the ...
 physics  A boy sitting on the edge of a vertical cliff fires a rock with a ...
 physics  A boy sitting on the edge of a vertical cliff fires a rock with a ...
 Right angle trigonometry  A sailor sights both the bottom and top of a ...
 Math  a tower stands on the top of a cliff. at a distance of 55m from the foot ...
 math  from a point 50 m from the base of a cliff, a surveyor measures the angle...
 Physics 124  A projectile is fired from the top of a cliff at 14.2 m/s at an ...
More Related Questions