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ad-work [718]
2 years ago
13

HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew

measures the angle of elevation to the beacon, 13^{\circ}
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22^{\circ}

. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
KatRina [158]2 years ago
5 0

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = \frac{opposite}{sdjacent}

Tan 13 = \frac{102}{x}

x = \frac{102}{Tan 13}

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = \frac{102}{y}

y = \frac{102}{Tan 22}

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

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muminat

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

\frac{30}{100}   \times RS  \:  \: 80000

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Hope this helps you

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Answer:

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Step-by-step explanation:

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<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

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Given the complex number;

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Using  DeMoivre’s Theorem;

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