Posted by Anonymous on Wednesday, March 20, 2013 at 1:28pm.
Sandra wants to find the height of a moutain. From her first location on the ground, she finds the angle of elevation to the top of the mountain to be 35 degrees 15 minutes. After moving 1000 meters closer to the moutain on level ground, she finds the elevation to be 50 degrees and 25 minutes . Find the height of the moutain to the nearest foot

trig  Reiny, Wednesday, March 20, 2013 at 3:29pm
make a sketch labeling the height of the mountain as PQ, with P as the top of the mountain.
Label the 2 points of observation as A and B, with B the closer point,
In triang ABP,
angle A = 35°15'
angle ABP = 180  50°25' = 129°35'
then angle APB = 15°10'
and AB = 1000 m
by the sine law:
BP/sin35°15' = 1000/sin15°10'
BP = 2205.9788..
now in the rightangled triangle BPQ
PQ/PB = sin50°25'
PQ = Height of mountain = 1700.145 m
or appr 1700 m
Did you want the answer in feet?
Why did you have metric units ?
I will let you do the conversion, if needed.
Answer This Question
Related Questions
 trig  Bob is driving along a straight and level road straight toward a mountain...
 physics  A woman measures the angle of elevation from her current location to a...
 Precalculus  From a point on ground level, you measure the angle of elevation ...
 trig confused.. pls help  A group of mountain climbers are using trigonometry ...
 trig  A survey team is trying to estimate the height of a mountain above a ...
 Maths  Say I'm at an unknown distance from a mountain, called point P, and I ...
 trigonometry  a surveyor finds that from Point A on the ground the angle of ...
 Trig  Can you please help with this trig question: The angle of elevation to ...
 MATH  In traveling across flat land, you notice a mountain in front of you. Its...
 Math  In traveling across flat land, you notice a mountain in front of you. Its...
More Related Questions