MATH SOLVE

4 months ago

Q:
# Help Please !!!Will mark the brainliest.Basketball star Mumford (a six foot senior forward) places a mirror on the ground x ft from the base of a basketball goal. He walks backward four feet until he can see the top of the goal, which he knows is 10 feet tall. Determine the how far the mirror is from the basketball goal. Justify your answer.

Accepted Solution

A:

Answer:The mirror is 20/3 of feet, which is about 6.7 feet, from the basketball goal.Explanation:The figure attached represents the situation.The triangle on the left and the triangle on the right are similar triangles because they are right triangles and the marked angles are congruent.The distance between the mirror and the basketball goal is represented by the unknown x.By similarity:[tex]10/6=x/4[/tex]Solving:[tex]x=40\times 10/6=40/6=20/3[/tex]Thus, the mirror is 20/3 of feet, which is about 6.7 feet, from the basketball goal.