A 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St. Determine the distance saved by using the path versus walking along the streets.

41.802 feet

Step-by-step explanation:

Given that a  92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.

We can visualize a triangle formed by the three streets One side is 92 feet.

Angle opposite 92 feet =

Let x be length of Cove st and y length of Mateo st.

Using sine angle for triangles,

Simplify to get

x=52.595

y=87.207

Distance saved=