Find x rounded to one decimal place. x = A plane is flying within sight of the G

Question

Find x rounded to one decimal place. x = A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000 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 26 degree. (Round your answers to the nearest foot.) What is the distance between the plane and the base of the arch? ft What is the distance between a point on the ground directly below the plane and the base of the arch? ft

Explanation / Answer

tan 60=80/y

y=80/tan 60

tan 30=80/(x+y)

x+y=80/tan 30

x+ 80/tan 60=80/tan 30

x=80/tan 30 - 80/tan 60

x=92.4

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