SOLUTION: A vertical pole XY is erected on a piece of lever 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 degree
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Question 1141856: A vertical pole XY is erected on a piece of lever 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 degree. Use tables to calculate the height of the top of the pole above ground level. (Give your answer and correct to the nearest meter
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A vertical pole XY is erected on a piece of lever 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 degree. Use tables to calculate the height of the top of the pole above ground level. (Give your answer and correct to the nearest meter
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What sort of tables?
Is his eye 12 m from the pole, or 12 m from point Y?
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Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Some of but NOT a finished solution:
Draw the described figure. YZ along the ground, YE a hypotenuse;
Triangle YZE.
On top of that triangle another sharing side YE with the on-the-ground triangle, triangle XYE.
YZ = 12;
ZE = 1.5
X is top of the pole. Y is on the ground.
m of angle YZE is 90 degrees.
from which find
m of angle
and from that find
measure of angle XYE = .
You want to solve for XY.
You would now have found known:
meas angle XYE;
meas angle YEX (fifty degree);
length YE;
AND YOU CAN COMPUTE ANGLE YXE having now already two of the upper triangles angle measures.
From there use Law Of Sines to find XY.
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