1. haw orchard mountain is 5080 feet high. from a point x feet away from haw orchard mountain, the angle
of elevation to the top of the mountain is 58º. what is the value of x?

x=3174.3 feet

Step-by-step explanation:

As the triangle including x, the height of the mountain is a right angled triangle.

Now we know that in a right angled triangle the tangent of an angle is the ratio of the opposite side and the adjacent side.

Tan α=

here opposite side=5080 feet

adjacent side=x feet

α=58°

Tan 58° = 5080/x

x=5080/1.30=3174.3 feet.

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.