A boat is heading towards a lighthouse, whose beacon-light is 141 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 12 degrees
. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary

Step-by-step explanation:

we have a right-angled triangle here.

there is the ground distance boat to lighthouse.

there is the height of the lighthouse = 141 ft.

and there is the line of sight boat to lighthouse light.

the angle at the boat is 12°.

the angle at the lighthouse bottom is 90°.

therefore, the angle at the lighthouse light is 180 - 90 - 12 = 78°

we use the law of sine to solve this.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and correlated angles being always opposite.

so, we have here

141/sin(12) = ground distance/sin(78)

ground distance = 141×sin(78)/sin(12) = 663.3528454... ft

≈ 663.35 ft

a child has a box of candies which might have a toy inside. the odds against the box having toys inside are 6/7. what is the probabilty of the box having a toy?

Josh makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours

I will give BRAINLIEST :))

Question 4 mille Choice Worth 5 points)
(LC)

STORIES OF USEFUL INVENTIONS, excerpt
By S. E. Forman
1911

THE MATCH

There never was a time when the word was without fire, but there was a time when men did not know how to Kindle fire and after they teamed how to Kindle one, it was a long, long time before they learned how to kindle one easily
In these days we can kindle a fire without any trouble, because we can easily get a match, but we must remember that the match is one of the most wondertul things in the world, and that it took men thousands of years to kam how
to make one. Let us learn the history of this familiar e object, the match
Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set abtaze by a thunderbolt, we may say that nature strikes a match. In the eany history of the world,
nature had to kindle all the fires, for man by his own effort was unable to produce a spark The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by nature-by a volcano, perhaps, or by a stroke of
lightning These firebrands were carried to the home and used in kinding the fres there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would
sometimes be extinguished a sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.
In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, Chlorate of potash, and sulphid of antimony, and nutbed it on sandpaper, and it burst into fame. The druggist had discovered the first friction
chemical match the kind we use to-day. It is called friction chemical because it is made by miding certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless was not a
good one it could be lighted only by hard rubbing, and it sputtered and the in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now
Delighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub t. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the
match with which we are so familiar

Which does the author mean by nature had to knde as the fires, for man by his own effort was unable to produce a spark?

1. Humans were unable to make fire

2. Nature was unable to make fire

3. Humans were not very intelligent

4. Humans did not try to make fire

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help ill give brainliest
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EXplain please ! i will mark brainliest show UR WORKING

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