Answer:
"The beach, the parking lot and the refreshment stand are illustrations of similar triangles.
The distance between the spot and the parking lot is 24 m
The distance between the refreshment stand and the parking lot is 40 m
(a) The distance between the spot and the parking lot
Represent this distance with d.
So, the equivalent ratio is:
\mathbf{32:d = d : 18}
Express as fractions
\mathbf{\frac {32}d = (d)/( 18)}
Cross multiply
\mathbf{d * d = 32 * 18}
\mathbf{d^2 = 576}
Take square roots
\mathbf{d = 24}
Hence, the distance between the spot and the parking lot is 24 m
(b) The distance between the refreshment stand and the parking lot
Represent this distance with d.
Using Pythagoras theorem we have:
\mathbf{d^2 = 32^2 + 24^2}
\mathbf{d^2 = 1600}
Take square roots
\mathbf{d = 40}
Hence, the distance between the refreshment stand and the parking lot is 40 m"
Explanation:
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(Source: https://brainly.com/question/21896141 )
