A helicopter is hovering over a landing pad 100 m from where you are standing. The helicopter's
angle of elevation with the ground is 15°. What is the altitude of the helicopter? (Round answer to 2
decimal places)

A helicopter is hovering over a landing pad 100 m from where you are standing The helicopters angle of elevation with the ground is 15 What is the altitude of t class=

Respuesta :

Answer:

26.79 meters

Step-by-step explanation:

tan15 = x/100

x = 100tan15 ≈ 26.79

Answer is 26.79m

Angle of elevation and tan Formula:

The angle of elevation is the angle between the horizontal line of sight and the object.

The tan angle = the length of the opposite side / the length of the adjacent side.

Here, the angle of elevation is 15 degrees.

Let's altitude of the helicopter is h.

The horizontal distance is 100m

tan(15°) = h / 100

0.2679 = h / 100

=> h = 0.2679 * 100

=> h = 26.79m

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