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
Answers
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:
[tex] a^2 = b^2 + c^2 - 2bc \times Cos(A) [/tex]
Where,
a = x
b = 90 m
c = 120 m
A = 45°
Plug in the values
[tex] x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45) [/tex]
[tex] x^2 = 22,500 - 21,600 \times Cos(45) [/tex]
[tex] x^2 = 22,500 - 15,273.5065 [/tex]
[tex] x^2 = 7,226.4935 [/tex]
Square both sides
[tex] x = \sqrt{7,226.4935} [/tex]
[tex] x = \sqrt{7,226.4935} [/tex]
x ≈ 85 m
Answer: AAAAAAA-85!!!!!
Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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30x = 12
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Step-by-step explanation:
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Answers
Answer:
25%
Step-by-step explanation:
Mrs. Loar has to grade 75 papers. Mrs. Holt is helping her grade. Mrs. Loar graded 60 papers and Mrs. Holt graded the rest.
Hence, the amount of papers Mrs Holy graded is = 75 - 60
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Answers
Answer:
Vertex form is y=(x-5)^2-43
Step-by-step explanation:
Given expression: x^2-10x-18
Take half of b:
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-5^2=25
Add and subtract into original expression:
x^2-10x+25-25-18
Factor and simplify:
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(x-5)^2-25-18
(x-5)^2-43
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Pleaseee someone resolve this quick!!!!!!