They are the same in different forms
Answer:
we will use Pythagorean's Theorem

Therefore, the missing leg is 15 meters long.
Step-by-step explanation:
we will use pythagoras theorem
Given that,
One leg of the triangle is 20 meters long,
the hypothenuse is 25 meters long,
and the leg missing is called x.
we will use Pythagorean's Theorem

Therefore, the missing leg is 15 meters long.
The slope is the average rate of change they are synonyms.
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.