Question

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

Answer 1

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

Step-by-step 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.

$\sin \theta=\dfrac{75}{115}\\\\\sin \theta=0.652\\\\\theta=\sin^{-1}(0.652)\\\\\theta=40.7\\\\\theta\approx 41^\circ$

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

Answer 2

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