x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore: x : 18 = 32 : x x * x = 18 * 32 x² = 576 x = √576 x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m. </span>
b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem: a² + b² = c² a = ? b = ? c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m. x² + 18² = a² x = 24 24² + 18² = a² 576 + 324 = a² 900 = a² a = √900 a = 30 m
