Bob is driving along a straight and level road toward a mountain. at some point on his trip, he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. find the height of the mountain to the nearest foot if bob is 19,427.5 feet from the center of the mountain at the base.
a.9135 ft
b.9235 ft
c.91,351 ft
d.913,515 ft

Option A.

Step-by-step explanation:

Distance between Bob and the center of the mountain at the base = 19,427.5 ft.

Angle of elevation to the top of the mountain = 25°11'

We know that

1 degree = 60 minutes

1/60 degree = 1 minute

Let the height of the mountain be h.

In a right angled triangle

Therefore, the height of the mountain to the nearest foot 9135. Option A is correct.

answer: 45

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: