SOLUTION: The angle of elevation e from A to B and the angle of depression d from B to A. Find the measure of each angle. e: (7x-5) degrees, d: 4(x+7) degrees

Algebra ->  Trigonometry-basics -> SOLUTION: The angle of elevation e from A to B and the angle of depression d from B to A. Find the measure of each angle. e: (7x-5) degrees, d: 4(x+7) degrees       Log On


   

Question 176211: The angle of elevation e from A to B and the angle of depression d from B to A. Find the measure of each angle.
e: (7x-5) degrees, d: 4(x+7) degrees


I thought you had to equal them to each other then plug in x but the answer i get is 28 and i think i am way off from the correct answer please help me
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The angle of elevation e from A to B and the angle of depression d from B to A. Find the measure of each angle.
e: (7x-5) degrees, d: 4(x+7) degrees
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The two angles are equal.
7x-5 = 4(x+7)
7x - 5 = 4x + 28
3x = 33
x = 11
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Angle size = 7x-5 = 7*11-5 = 72 degrees
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Cheers,
Stan H.