A 2 m surfer is standing 12 m away from the lifeguard station. He wants to go to the Burger Shack for lunch. The Burger Shack is 14 m tall. How far away is it from the lifeguard station?

72 meters

Step-by-step explanation:

If we take into account the relationship between the data of the problem, we have a relationship between heights and distances.

Between the height would be between the surfer and burger shack, and the known distance of 12 between the surfer and the lifeguard station.

we have the following relationship

2/14 = 12 / x

x = 14 * 12/2

x = 84

but this would be the distance between the surfer and burger shack, the distance we need would be:

84 - 12 = 72

it means that between burger shack and the lifeguard station there are 72 meters

ok

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq