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2 years ago

I need help!!! I don't get it.

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

5 0

The ship's horizontal distance from the lighthouse is 1930.59 feet. Using trigonometric ratio 'tanθ' the distance is calculated.

<h3>What are trigonometric ratios?</h3>

The trigonometric ratios are used for determining the lengths of the right-angled triangle. There are six basic trigonometric ratios. they are:

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

sec θ = hypotenuse/adjacent

cosec θ = hypotenuse/opposite

cot θ = adjacent/opposite

<h3>Calculation:</h3>

It is given that,

The height of the bacon-light is 135 feet above the water

Consider the horizontal distance between the boat and the lighthouse = x feet

The angle of elevation is given as 4°

Constructing a model as below in the figure.

From the trigonometric ratios, we have

tan θ = 135/x

⇒ tan 4° = 135/x

⇒ x = 135/tan 4°

∴ x = 1930.589 feet ≅ 1930.59 feet (rounding to the nearest hundredth of a foot)

Therefore, the ship's horizontal distance from the lighthouse is 1930.59 feet.

Learn more about trigonometric ratios here:

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Which equation has infinite solutions?

AnnyKZ [126]

The equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is $2x + 3 = \frac{1}{2}(4x + 2) + 2$

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<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

$2x + 3 = \frac{1}{2}(4x + 2) + 2$

$\frac 13(6x - 3) = 3(x + 1) - x - 2$

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2 years ago

The rabbit population in a certain area is 200% of last year's population.There are 1,000 rabbits this year.how many were there

alexandr1967 [171]

the answer is 200%x=1000 which is =500 when you divide 1000 by 2. So 500 rabbits last year

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3 years ago

HELP! Find the EXACT angle(s) on The Unit Circle (in radians) that would produce sinθ = −2√2

bazaltina [42]

Answer:

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Step-by-step explanation:

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3 years ago

Based on the information in the diagram?

muminat

Answer:

We can not use ASA property of congruence.

Step-by-step explanation:

In ΔHML and ΔHMK,

HL ≅ HK [Given]

LM ≅ KM [Given]

HM ≅ HM [Reflexive property]

m∠L ≅ m∠K [Given]

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Angle-Side-Angle property of congruence.

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Therefore, we can not use ASA property of congruence.

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3 years ago

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bezimeni [28]

Make me the brilranest.thankyou.i hope it was helpful

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3 years ago

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