The calculation shows that the measure of the angle represented by x is approximately
, which is closest to 34°.
Sure, to find the angle x, we use the tangent function based on the sides of the right-angled triangle formed by Sid's directions.
Given:
Opposite side (height) = 2 miles
Adjacent side (base) = 3 miles
The formula for the tangent of an angle in a right triangle is:
To find x, take the arctangent (inverse tangent) of both sides:
Using a calculator: