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3 years ago

The sail of a boat is in the shape of a right triangle, as shown below:

Mathematics

2 answers:

dolphi86 [110]3 years ago

6 0

Answer: Choice C
7 divided by cosec 50 degrees

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Explanation:

Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)

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Let the horizontal leg be x

This leg is opposite the angle 50 degrees. The hypotenuse is 7

Opposite = x
Hypotenuse = 7

We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite

Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule

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cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)

This is why the answer is choice C

Vladimir79 [104]3 years ago

5 0

Answer:

C. 7/cosec50

I did the test. This is correct.

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