Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 37 degree, and traveled a distance of 2.1 point, 1 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Stella land? Round your final answer to the nearest hundredth.

The situation is represented by a right triangle with 2.1km as the hypotenuse. The distance x from the center to the landing point divided by 2.1 is the cosine of 37 degrees. So x/2.1=cos37=0.7986 approx, x=2.1×0.7986=1.68 km.

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AmitPaswan AmitPaswan · Answer 2 · 2022-07-29T17:09:51+02:00

1.68 km from the skydiving center did Stella land .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular

According to the question

Stella's friends got her a skydiving lesson .

Her helicopter took off from the skydiving center, ascending in an angle of 37 degree .

i.e angle of elevation = 37°

then traveled a distance of 2.1 kilometers , 1 kilometers before she fell in a straight line perpendicular to the ground.

i,e

Her helicopter is making a right angled triangle with respect to ground

in which

Hypotenuse of triangle = 2.1 km

Perpendicular of triangle = 1 km

with angle of elevation = 37°

now,

the distance from the skydiving center did Stella land

According to the Trigonometric ratios

cos θ = Base/Hypotenuse

substituting the value in formula

cos 37° = [tex]\frac{Base}{2.1}[/tex]

0.7986 * 2.1 = Base

Base = 1.68

Hence, 1.68 km from the skydiving center did Stella land .

To know more about Trigonometric ratios here:

https://brainly.com/question/23130410

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