- Mt. Everest is considered the tallest mountain in the world at 8,848 meters above sea level. In fact, the forgest mountain in the world is Mauna Loa, in Hawai'i, Mauna Loa rises 4, 170 meters from sea level to the top of the
summit, but its base is deep under water. The base of the mountain is at -5,000 meters,
A probe is dropped 7, 500 meters straight down into Mauna Los from its summit.
At what height is the probe, relative to sea level?
meters
How far is the probe from the base of the volcano?
meters

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation: