Question

Main Street, State Street, and Birch Avenue intersect to form a right triangle.

What angle does Main Street make with Birch Avenue?

Round only your final answer to the nearest degree.

Answer 1

cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees

Answer 2

Answer: Main Street make 41° angle with Birch Avenue.

Explanation:

Since we have given that

Length of State Street = 75 m

Length of Birch Street = 115 m

So, we need to find the angle between Main and Birch Street.

We will use "Sine" as we have Perpendicular and hypotenuse given.

`\sin \theta=(75)/(115)\\\\\sin \theta=0.652\\\\\theta=\sin^(-1)(0.652)\\\\\theta=40.7\\\\\theta\approx 41^\circ`

Hence, Main Street make 41° angle with Birch Avenue.