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An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km

An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km
Transcribed Image Text:An aireraft flies at a constant height along a straight path of 8 km above the ground. The angle of elevation from a fixed point on the ground to the aireraft is marked as x radians, which varies with time. The horizontal distance along the ground of the aircraft from the fixed point is marked as y km. The aircraft is flying at a constant speed of 500 km/h. Find the rate of change of x, in radian per hour, when x is radians ? 8 km
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