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An airplane takes off from an airport. When the
airplane reaches a height of 16,500 feet (ft), the
airplane has travelled a horizontal distance of 6,000 ft,
as shown in the diagram below.

An Airplane Takes Off From An Airport When The Airplane Reaches A Height Of 16500 Feet Ft The Airplane Has Travelled A Horizontal Distance Of 6000 Ft As Shown I class=

Sagot :

ajinems

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

Calculation of the distance travelled

  • To calculate the angle of elevation of the airplane

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

  • To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

Learn more about Pythagorean Theorem here:

https://brainly.com/question/343682

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