Posted by **Anonymous** on Friday, December 2, 2011 at 1:51pm.

Kate and John both are 100 m far away from each other. They both are 1.5 m tall. They flagpole are somewhere between them. Kate looking up the flagpole at the angle of elevation of 25 degree while John looking at 60 degree. How far the flagpole they both standing and how tall the flagpole?

- math -
**Steve**, Friday, December 2, 2011 at 2:35pm
Consider the height h of the pole above their eyeballs.

Let Kate be x meters from the pole

h/x = tan 25°

h/(100-x) = tan 60°

x tan 25° = (100-x)tan 60°

.4663x = 173.205 - 1.7321x

2.1984x = 173.205

x = 78.79

So, Kate is 78.79m from the pole and

John is 21.21m from the pole.

h = 78.79 tan 25° = 36.74

so, the pole is 36.74 + 1.5 = 38.24m high (assuming their eyeballs are on top of their heads...)

## Answer this Question

## Related Questions

- Math - A 15 m flagpole stands on level ground. from point P, due west of the ...
- maths - John wishes to determine the height of a flagpole. He takes a sighting ...
- MATH TRIG - FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A ...
- Algebra - In 1915, the tallest flagpole in the world was in San Francisco. a. ...
- algebra - If you are standing 85 ft from the base of a flagpole, and determine ...
- College Algebra - A person who is 6 feet tall walks away from flagpole toward ...
- math - A flagpole stands at a right angle to the horizontal at the bottom of a ...
- math - A flagpole casts a 32-ft shadow. A boy who is 6 feet tall is standing ...
- Math-Trig - 1. To avoid a steep descent, an airplane flying at 10 000 m starts ...
- Precalculus - A woman standing on a hill sees a flagpole that she knows to be 60...

More Related Questions