SOLUTION: Hello! The question I need help on says: On September 30, 1995, the Ohio State Buckeyes defeated the Notre Dame Fighting Irish in football as a blimp relayed aerial viewes from abo

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Question 167747This question is from textbook Algebra 1
: Hello! The question I need help on says: On September 30, 1995, the Ohio State Buckeyes defeated the Notre Dame Fighting Irish in football as a blimp relayed aerial viewes from above. Suppose the blimp was directly over the 50-yard line. A photograper on the ground estimated the angle of elevation to be 85 degrees when she was 65 yards away from the point on the ground directly under the blimp. How high is the blimp? Round your answer to the nearest foot.
If you could show me step by step that would be great!
Thank You! This question is from textbook Algebra 1

Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
On September 30, 1995, the Ohio State Buckeyes defeated the Notre Dame Fighting Irish in football as a blimp relayed aerial viewes from above. Suppose the blimp was directly over the 50-yard line. A photograper on the ground estimated the angle of elevation to be 85 degrees when she was 65 yards away from the point on the ground directly under the blimp. How high is the blimp? Round your answer to the nearest foot.
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You must use trigonometry. Draw a diagram to see where the right triangle is.
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tan = opposite/adjacent
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tan(85) = x/65
x = 65 * tan(85)
x = 65 * 11.4301
x = 742.9534 yards
.
Converting the above into feet:
x = 742.9534 * 3 = 2228.86
Rounding to nearest foot:
x = 2229 feet

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the blimp was directly over the 50-yard line. A photograper on the ground estimated the angle of elevation to be 85 degrees when she was 65 yards away from the point on the ground directly under the blimp. How high is the blimp? Round your answer to the nearest foot.
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Draw the picture: a right triangle with a base of 65 yds.,
base angle of 85 degrees and height of "h".
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EQUATION:
tan(85) = h/65
h = 65*tan(85)
h = 65*11.43005..
height = 742.95.. yrds. = 2228.86 ft.
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Cheers,
Stan H.