A plane glides towards a ground-based radar dish. Radar locates the plane at a distance D = 22 km from the dish, at an angle θ = 51° above horizontal. Part (a) What is the plane's horizontal distance, DH in meters, from the radar dish? Numeric : A numeric value is expected and not an expression.

Question

Physics

Orlando Kaiser

27 August, 15:34

A plane glides towards a ground-based radar dish. Radar locates the plane at a distance D = 22 km from the dish, at an angle θ = 51° above horizontal. Part (a) What is the plane's horizontal distance, DH in meters, from the radar dish? Numeric : A numeric value is expected and not an expression.

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Answers (1)

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Kayley · Answer 1

The planes's horizontal distance is DH = 13845 meters

Explanation:

We need to get the vector components because we already know the distance and the angle so using the trigonometric identity of Cos (Ф) we can get the horizontal component and if we get the component on x axle like 22000 (m) * Cos (51°) = x so we can find that x = 13845.05 meters