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3 years ago

Can someone please help me with this math problem! thank you! :)

Mathematics

1 answer:

I am Lyosha [343]3 years ago

6 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

y = 18/tan(65°)

y ≈ 8.3935 ≈ 8.4

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Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe

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The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
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62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
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So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.

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