Sunday

September 21, 2014

September 21, 2014

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

- math -
**Steve**, Friday, December 2, 2011 at 2:35pmConsider 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**

College Algebra - A person who is 6 feet tall walks away from flagpole toward ...

math - A flagpole casts a 32-ft shadow. A boy who is 6 feet tall is standing ...

maths - John wishes to determine the height of a flagpole. He takes a sighting ...

algebra - If you are standing 85 ft from the base of a flagpole, and determine ...

math - In a photograph, a man is 1.3cm tall and a flagpole is 4.8cm tall. If the...

Math 11 - In a photograph, a man is 1.3cm tall and a flagpole is 4.8cm tall. If ...

physics - if a steel flagpole get 5.1 mm taller when temperature increase by 5.0...

math - Theresa wanted to find the height of her school's flagpole in inches. ...

MATH - If a flagpole casts a shadow of 300 ft. and a person standing 6ft tall ...

Int Alegbra - 2nd question Flagpole is secured on opp. sides by 2 wires. each of...