Question

Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the

nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m

Answer 1

37degrees

Explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta = 36.86

Hence the angle, to the nearest degree, between her path and the longest side of the playground is 37degrees