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

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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743