Monday

October 20, 2014

October 20, 2014

Posted by **Faw** on Thursday, August 7, 2014 at 6:33am.

- math -
**Reiny**, Thursday, August 7, 2014 at 8:15amLet P be the foot of the tower, and h be the height of the tower

let AP = x , then BP = 80-x

I see two right-angled triangles

tan21 = h/x ---> h = xtan21

tan46 = h/(80-x) --> h = (80-x)tan46

xtan21 = (80-x)tan46

xtan21 = 80tan46 - xtan46

xtan21 + xtan46 = 80tan46

x(tan21 + tan46) = 80tan46

x = 80tan46/(tan21 + tan46) ----- I have not yet touched a calculator

you do the button pushing to get x

then plug x into

h = xtan21

**Answer this Question**

**Related Questions**

math 115a - two points A and B 80 ft apart lie on the same side of a tower and ...

math trig - two points A and Bare 80 feetapart on the same side of A towerand on...

Math - If an observer stands at a certain point in the same horizontal plane as ...

Trigonometry - Two points, A and D, are in a horizontal line with the foot of a ...

trig - a tower that is a 200 meters is leaning to one side. from a certain point...

Trig - From a point P on level ground, the angle of elevation of the top of a ...

math - two office towers are 31 m apart. From the top of the shorter tower, the ...

math trigonometry - two office towers are 31 m apart. From the top of the ...

plane and trigonometry - a 30 foot flagstaff is fixed in the center of a ...

math - A tower 125 feet high stands on the side of a hill. At a point 240 feet ...