Question

Air traffic controller Seymour Plains must quickly calculate the altitude of an incoming jet. He records the jet’s angle of elevation as 8°. The jet signals that its land (horizontal) distance from the control tower is 74 km. Calculate the altitude of the jet to the nearest meter

Answer 1

Answer:

Altitude of the jet is 10.40km

Step-by-step explanation:

The angle of elevation = 8°

Horizontal distance (adjacent to the angle) = 74km

Altitude of the plane (opposite) = ?

Kindly check attached document for better illustration.

To solve this question, we have to use tangent rule since we have adjacent and angle, but no opposite.

Tanθ = opposite / adjacent

θ = 8°

Adjacent = 74km

Opposite = ?

Tan 8 = x / 74

Opposite = 74 * tan8

Opposite = 10.40

The altitude of the jet is 10.40km