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

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


   

Question 1161580: A vertical pole XY is erected on a piece of level ground.A student whose eye E is 1.5m above the ground is standing at Z 12m away from Y,the foot of the pole,if XEY =50°.use table to calculate the height of the top of the pole above the ground level give your answer in the nearest meter.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
This is only part of a possible path to getting the desired result of finding XY.

Drawing the figure, Pythagorean Theorem gives EY as sqrt%28146.25%29=12.0933866.

Measure of angle XYZ is 90 degrees, a Right Angle.

Use sine of angle EYZ, or use sin%28ofangleEYZ%29=1.5%2Fsqrt%28146.25%29 to find measure value of this angle.

Angle Measure XYZ, 90-angleofEYZ, which was just found EYZ.

Now you can find angle measure at X.

Now angleas at X, at Y, at E (of the upper triangle) are known, and EY or YE was found earlier. Law of Sines for finding XY.