Create a proportion using the properties of similar triangles.
20 in.
Practice makes perfect
Let's begin with recalling that, according to the Angle-Angle Similarity Theorem, if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the drawn triangles are similar.
We are given that the ball landed 23 of the way between Luis's dad and and Luis. If we call d the distance between them, then we can write the length of corresponding sides. Let x be the height at which Luis caught the ball.
To find the value of x, we will create a proportion using the fact that in similar triangles the corresponding sides are proportional.
40/x=23d/13d
Let's solve the above equation. We will start with reducing the fraction on the right-hand side by d.
