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Mathematics

1 answer:

murzikaleks [220]2 years ago

8 0

Answer:

1/6 (16.667%)

Step-by-step explanation:

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A ship of height 9 meters is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of th

stealth61 [152]

Answer:

$21.276$ meters

Step-by-step explanation:

For the two angle of depressions one at the top of mast and other at the base will provide two distinct equation is terms of distance between the ship and lighthouse.

Let the distance between the ship and lighthouse be represented by X

y be the vertical distance above height of ship i.e $9$ meters.

Equation 1

$tan 45 = \frac{Y + 9}{X}$

$Y = X tan 45 - 9$

Second equation

$tan 30 = \frac{Y}{X} \\$

$Y = X tan 30$

Equating both the equation 1 and 2 we get -

$X tan 30 = X tan 45 - 9\\X tan45 - X tan 30 = 9\\X * 1 - X * 0.577 = 9\\0.423 X = 9\\X = 21.276$

8 0

3 years ago

2x+5y=10<br> x-3y=-6<br> how do i get the point of intersection

diamong [38]

Multiple the second equation by 2 and subtract it from the first

2x + 5y = 10
2x - 6y = -12

now subtract

11y = 22
y = 2

Plug y = 2 in to either equation
x - 3(2) = -6
x - 6 = -6
x = 0

The point at where they intersect is (0, 2)

8 0

3 years ago

Which expression is equivalent to 4(6 + 8)? (1 point)

Makovka662 [10]

Answer:

C. 24 + 32

Step-by-step explanation:

Step 1 - Distribute

4 • 6 = 24

4 • 8 = 32

24 + 32

6 0