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sergeinik [125]
3 years ago
5

a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0
Draw a right triangle.

tan(theta) = \frac{opposite}{adjacent}

tan(theta) = \frac{10}{14}

Arctangent (tan^-1) can be used to find theta.

tan^{-1}(\frac{10}{14})=theta

theta\ is\ approx\ \boxed{36\ degrees}

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Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

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1.2 * 1.05x = 1.26x

1.26x = 126% of x = 100% of x + 26% of x

100% of x is the same as x, so it is the same as the original x.

The increase is 26% of the original number.

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

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