Question

A shooting star forms a right triangle with the Earth and the Sun, as shown below: A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg A scientist measures the angle x and the distance y between the Earth and the shooting star. Which trig function would the scientist use to calculate the distance between the Earth and the Sun. (5 points) sin cos tan sin-1 cos-1 tan-1

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, obtuse triangle, equilateral triangle and right angled triangle.

Trigonometric functions are functions used to show the relationship between an angle of a right-angled triangle and the ratio of two side lengths. Below are some trigonometric function:

sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse, tanθ = opposite/adjacent.

Given the right angled triangle with angle x. and the hypotenuse y. We need to find the distance between the Earth and the shooting star.

d = distance between the Earth and the shooting star = adjacent side.

Therefore, the relationship between angle x, d and y can be gotten using the cos trig function.

cosθ = adjacent / hypotenuse

cos(x) = d / y

d = y * cos(x)