SOLUTION: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She fi
Algebra.Com
Question 998768: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 19°. (Round your answers to the nearest foot.)
(a) What is the distance between the plane and the base of the arch?
(b) What is the distance between a point on the ground directly below the plane and the base of the arch?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Sin 19 = 40000/distance
distance from plane to the arch = 40000/sin(19
=122862.139 ft
tan 19 = 40000/x
x= 40000/tan 19
= 116168.435
RELATED QUESTIONS
Maurice is building a 2 ft tall model of the Gateway Arch in St.
Louis, Missouri. If he... (answered by TimothyLamb)
The Gateway Arch in St. Louis is 8 meters taller than the Space Needle. Write and solve... (answered by greenestamps)
The Gateway Arch in St. Louis, Missouri, has a shape similar to that of a parabola. The... (answered by ankor@dixie-net.com)
Please help me with this word problem: Maurice is building a 2 foot tall model of the... (answered by tommyt3rd)
A plane is flying at an elevation of 24000 feet. It is within sight of the airport and... (answered by ccs2011)
The formula s = 16t^2 is used to approximate the distance, s, in feet, that an object... (answered by ikleyn)
Here's the problem:
The shape of the Gateway Arch of the Jefferson National Expansion... (answered by scott8148)
The shape of the gateway arch in st. Louis, Missouri, is a catenary curve, which closely... (answered by ankor@dixie-net.com)
A plane is flying at an elevation of 24000 feet.
It is within sight of the airport and (answered by Mathtut)