Saturday

April 19, 2014

April 19, 2014

Posted by **Nazharia** on Wednesday, March 5, 2008 at 9:36am.

(Please don't give me the answer only.. I also need the way so I can learn from it. Thankyou :])

- MATHH -
**Reiny**, Wednesday, March 5, 2008 at 10:14amMake a neat diagram.

Label the bottom of the tree R and its top T

You should have two right angled triangles, PTR and QTR

Label PQ = 10, let QR = x and RT = h

In triangle QRT, tan 32º=h/x

h = xtan32

in triangle PTR, tan 23º = h/(x+10)

so h = (x+10)tan23

equate the two equations, (both are h=...)

xtan32 = (x+10)tan23

xtan32 = xtan23 + 10tan23

xtan32 - xtan23 = 10tan23

x(tan32-tan23) = 10tan23

x = 10tan23/(tan32-tan23)

Now you could solve for x now, and sub that back into

h = xtan32

I got h = 13.24, let me know if you got the same answer.

**Related Questions**

Mathematics - A tree is "x"meters high. The angle of elevation of its top from a...

math - a tree is x meter high the angle of elevation of its top from a point p ...

Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...

CST GEOMETRY - a tree is situated on level ground from a point 135 feet from the...

math - From 70 feet away from the base of a tree on level ground, the angle to ...

geometry - can someone please show me the answer for this problem ? a tree is ...

algebra - a point on one bank he finds the angle of elevation of the top of a ...

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

Math - Trig - 1. From a point 15m from the base of a tree, the angle of ...

trig - Because of prevailing winds, a tree grew so that it was leaning 4 degrees...