A boat heading out to sea starts out at Point A, at a horizontal distance of 1032 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 15°. At some later
time, the crew measures the angle of elevation from point B to be 6°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answers
Answer:
1598.9 ft
Step-by-step explanation:
You want the distance between points A and B when observers at each point find the angle of elevation to a lighthouse beacon to be 15° and 6°, respectively. Point A is 1032 ft horizontal distance from the lighthouse.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
This can be rearranged to ...
Opposite = Tan × Adjacent
SetupIf d is the distance in feet from A to B, two expressions for the same lighthouse height can be written:
height = tan(15°)(1032)
height = tan(6°)(1032 +d)
SolutionEquating these values of height, we have ...
tan(6°)(1032 +d) = tan(15°)(1032)
d = 1032(tan(15°) -tan(6°))/tan(6°) = 1032(tan(15°)/tan(6°) -1)
d ≈ 1598.946 . . . . feet
The distance from A to B is about 1598.9 feet.
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
hello :
an system of equations has the same solutions as the system below
the system 3x-y=7
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What are system of equations?A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Given system of equations
3x - y = 7........................(1)
2x + 3y = 12...................(2)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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9514 1404 393
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Answer:
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Step-by-step explanation:
Each of the 6 faces of the cube has has an area that is ...
A= s²=(3cm)²=9cm²Then the area of the cube is ...
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hey man i’m struggling to but plz don’t click the links. it hacks your devices