Question

NEED HELP ASAP!!!
Review the diagram.

On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).

A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?

approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m

Answer 1

Answer:

Approximately 85 m

Step-by-step explanation:

Let x represent the distance between the origination point and the target

Distance between original point and mirror 1 = 120 m

Distance between mirror 1 and mirror 2 = 90 m

The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°

Use Cosine rule to find x as shown below:

Use The Law of Cosines to find side a first:

$a^2 = b^2 + c^2 - 2bc \times Cos(A)$

Where,

a = x

b = 90 m

c = 120 m

A = 45°

Plug in the values

$x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45)$

$x^2 = 22,500 - 21,600 \times Cos(45)$

$x^2 = 22,500 - 15,273.5065$

$x^2 = 7,226.4935$

Square both sides

$x = \sqrt{7,226.4935}$

$x = \sqrt{7,226.4935}$

x ≈ 85 m

Answer 2

Answer: AAAAAAA-85!!!!!

Step-by-step explanation: