Question

Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20, degrees, and traveled a distance of 3.4 kilometers before she fell in a straight line perpendicular to the ground.

Answer 1

Question (corrected):

Alexa's friends got her a skydiving lesson for her birthday. her helicopter took off from the skydiving center, ascending in an angle of 20°, and traveled a distance of 3.4 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Alexa land?

Given:

The helicopter ascends from the skydiving centre at an angle of 20°.

The helicopter travels for 3.4 km.

Alexa fell straight line perpendicular to the ground.

To Find:

The distance between the skydiving centre and the place Alexa land.

Formula needed:

$\cos \theta = \dfrac{\text{Adjacent}}{\text{Hypotenuse}}$

Solution

* Refer the the attached diagram for the visual representation of the question.

Find the distance:

$\cos \theta = \dfrac{\text{Adjacent}}{\text{Hypotenuse}}$

Let the distance be D

$\cos (20) = \dfrac{\text{D}}{\text{3.4}}$

$D = 3.4 \cos (20)$

$D = 3.19 \text { km}$

Answer: The distance is 3.19 km

Answer 2

Answer:

the distance is 3.19 km