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earnstyle [38]
3 years ago
10

A lighthouse keeper has a 10º angle of depression between the horizontal light beam and the line of sight from the ship. If the

keeper is 19 m above water, how far is the ship from the base of the lighthouse?

Mathematics
2 answers:
Mademuasel [1]3 years ago
7 0
The image I provided is a good diagram of the situation.

The keeper is 19 meters above the water.

He is looking down at a ship at a 10° angle from the horizon.

We want to find the distance between the base of the lighthouse and the ship.

The side we are trying to find is opposite the angle 10°. The lighthouse is adjacent to the angle 10°.

Therefore, we can use the tangent function (opposite over adjacent).

tan 10° = x/19

Multiply both sides by 19:

19 tan 10° = x

Solve using a calculator:

x = 3.350 meters

The ship is 3.350 meters from the lighthouse.

DerKrebs [107]3 years ago
6 0
3.350 is the answer i hope this help
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garik1379 [7]
<h3>Answer:  658.3</h3>

==================================================

Explanation:

The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.

If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(62) = y/350

350*tan(62) = y

y = 350*tan(62)

y = 658.254262871217

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3 0
3 years ago
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Solve question 13. And 14. Please!! Will reward brainliest!!
SIZIF [17.4K]

Answer:

y = 4 sin( 0.5t - \frac{4\pi }{3} ) - 2

y = a sin ( 2t - \frac{-\pi }{3}) + 2

Step-by-step explanation:

In the first question,

amplitude = 4

Period = 4\pi

phase shift = \frac{-4\pi }{3}

Vertical shift = -2

Angular velocity , w = \frac{2\pi }{time period}

Here, w = \frac{2\pi }{4\pi } = 0.5

The general equation of a wave is

y = a sin( wt + ∅ )

Putting above values in the equation,

y = 4 sin( 0.5t - \frac{4\pi }{3} ) - 2

In the second question,

Amplitude is not given so we will take it as a.

time period = \pi

w = 2

Phase shift = \frac{-\pi }{3}

Vertical shift = 2

The equation is

y = a sin ( 2t - \frac{-\pi }{3}) + 2

5 0
3 years ago
Please help!!
Misha Larkins [42]
Its 26.315% or rounded to 26.32% commission

Explanation; you take the total of the car, and then divide that by the exact amount Ken earned leaving you with the commission

18,250 ÷ 693.50 = 26.315789474 (normally using only the first two decimals when counting money, rounded to the nearest tenth) leaving you with 26.32
5 0
3 years ago
Jar of mayonnaise is shaped like a cylinder. The radius of the jar is 1.5 in and its height is 7 in. The mayonnaise sell for $0.
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8 0
3 years ago
A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square y
timofeeve [1]
The lawn area of uniform width can be written as follows:
 A = (40 + 2x) * (35 + 2x) - (40) * (35)
 Where,
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 Substituting the value of the area we have:
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 Rewriting:
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The width of the lawn that surrounds the garden is:
 
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