Question

4) A blimp is flying to cover a football game. The pilot sights the stadium at an 8° angle

of depression. The blimp is flying at an altitude of 420m. How many meters is the blimp
from the stadium?

Answer 1

To find the distance of the blimp from the stadium, we can use the tangent function and the given angle of depression and altitude. Using trigonometry, we find that the blimp is approximately 2892.44 meters from the stadium.

Step-by-step explanation:

To solve this problem, we can use trigonometry. The angle of depression is 8°. We know that the blimp is flying at an altitude of 420m. By using the tangent function, we can calculate the distance. Tangent is defined as the opposite divided by the adjacent. In this case, the opposite side is the altitude (420m) and the adjacent side is the distance from the blimp to the stadium.

Let x be the distance from the blimp to the stadium:

Tan(8°) = 420 / x

To solve for x, we can rearrange the equation:

x = 420 / Tan(8°)

Using a calculator, the value of x is approximately 2892.44 meters. Therefore, the blimp is approximately 2892.44 meters from the stadium.

Answer 2

x = 3017.82 m

Step-by-step explanation:

We have,

Angle of depression of the pilot is 8 degrees

The blimp is flying at an altitude of 420 m.

It is required to find the distance between the blimp and the stadium. Let it is x. It can solved using trigonometry.

`\sin\theta=(P)/(H)\\\\\tan 8=(420)/(x)\\\\x=(420)/(\sin8)\\\\x=3017.82\ m`

So, the blimp is 3017.82 m from the stadium.