Respuesta :
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.
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
#SPJ2
