A bird sitting on top of a stop sign notices a piece of food on the ground, 11 ft from the base of the stop sign. If the bird has to lool down at a 39 ° angle of depression in order to see the piece of food, what is the approximate distance from the bird to the food? (Assume the stop sign is at a right angle to the ground.)

The food is approximately 14 feet from the bird

Step-by-step explanation:

Right Triangle

They are known by the fact that they have a 90° internal angle. The basic trigonometric ratios stand on right triangles. Being x the adjacent side (or leg) of an angle and h the hypotenuse, then  

Imagine the right triangle ABC, where the bird is at A, the right angle is at B (the base of the stop sign) and the food is at C. We know the distance from the stop sign to the food is x=11 ft, and the angle of depression from A is 39°. This angle is exactly the same as the one formed by x and the hypotenuse h, the distance from the bird to the food. Thus, solving for h

The food is approximately 14 feet from the bird

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw