Thursday

April 17, 2014

April 17, 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...)

**Related Questions**

math - john is standing 100 metres away from a building.the angle of elevationto...

math - john is standing 100 metres away from a building.the angle of elevationto...

Spanish -another question - I'm working on distances like saying something is ...

physics - A box is placed 50 cm away from a double convex lens. The image is on...

Trigonometry - John is an Atlanta Hawks fan with seaon tickets for the past 5 ...

Trig. - John is an Atlanta Hawks fan with seaon tickets for the past 5 years....

English - 1. it is by far the best dictionary. 2. It is far and away the best ...

major math - which numbers are four units from -1? 3, -5 are both four units ...

physics - a ball is kicked with a velocity of 12 m/s at an angle of 42 degress ...

Math - Karen is 8 years old and Kate is 9 years old. What will Kate's age be ...