SOLUTION: A vertical pole, XY is erected on a piece of level ground. A student whose eye, E, is 1.5 m above the ground is standing at Z 12m away from Y, the foot of the pole. If ∠XEY = 50Â

Algebra ->  Test -> SOLUTION: A vertical pole, XY is erected on a piece of level ground. A student whose eye, E, is 1.5 m above the ground is standing at Z 12m away from Y, the foot of the pole. If ∠XEY = 50      Log On


   

Question 1207336: A vertical pole, XY is erected on a piece of level ground. A student whose eye, E, is 1.5 m above the ground is standing at Z 12m away from Y, the foot of the pole. If ∠XEY = 50°, calculate the height of the top of the pole above ground level. Give your answer correct to the nearest metre.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
first sketch:


let the height of pole be h

then+h=x%2B1.5m

using tangent rule we have
x%2F12m=tan%2850%29
x=12m%2Atan%2850%29
x=14.3m

so, the height is
h=14.3m%2B1.5m
h=15.8m