Thursday

September 18, 2014

September 18, 2014

Posted by **William320** on Thursday, August 1, 2013 at 11:42am.

- Math -
**Reiny**, Thursday, August 1, 2013 at 12:53pmmake a sketch, labeling the balloon P and the point directly below it on the ground as Q

(We have to find PQ)

Label the first observer as A and the second as B

AB = 3

angle PAB = 15° , angle PBQ = 24°

In triangle PAB,

angle A = 15, angle PBA = 156° , so angle APB = 9°

by the sine law:

AP/sin15 = 3/sin9

AP = 3sin15/sin9 = 4.963465... ( I stored in calculator's memory)

In the right-angled triangle, PBQ

sin24 = PQ/AP

PQ = APsin24 = 2.0188 miles high

**Answer this Question**

**Related Questions**

math - A balloon rises at a rate of 3 meters per second from a point on the ...

calculus : related rates - a balloon rises at a rate of 3 meters per second from...

trigo - An observer at A looks due north and sees a meteor with an angle of ...

Math (Pre-Calc) - An airplane is flying east at a constant altitude of 28,000 ...

calculus - A rocket rises vertically from a point on the ground that is 100m ...

trigonometry - An observer at A looks due north and sees a meteor with an angle ...

Calculating distance(law of cosines) - Observers P and Q are located on the side...

Trig - A weather balloon is sighted between points A and B which are 5 miles ...

Math - a balloon is rising vertically at the rate of 2 m/s. an observer is ...

Math - A hot air balloon is observed from two points A and B on the ground A and...