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kotykmax [81]
3 years ago
5

A plane can fly 305 miles downwind in the same amount of time as it can travel 215 miles upwind. Find the velocity of the wind i

f the plane can fly 260 mph in still air.
Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

We can compute this in 2 ways:

305 downwind - 260 still air = 45 mph wind velocity

260 still air - 215 downwind = 45 mph wind velocity

Step-by-step explanation:

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<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

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Step one:

The sum of squares of Sine and Cosine is 1 which is:

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Step two:

The reciprocal of cosine is secant which is:

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On substituting the above identity in equation (1), we get,

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Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

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Step-by-step explanation:

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