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

Question

4 years ago

10

. Determine the distance saved by using the path versus walking along the streets.

2 answers:

ohaa [14] · Answer 1 · 2022-01-09T04:47:35+03:00

Answer:

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 = $180-68-34 = 78$

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

Using sine angle for triangles,

$\frac{92}{sin 78} =\frac{x}{sin 34} =\frac{y}{sin 68}$

Simplify to get

x=52.595

y=87.207

Distance saved= $x+y-92\\= 139.802-92\\=41.802$

aleksandrvk [35] · Answer 2 · 2022-01-09T06:15:52+03:00

Answer:

Answer:

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=

Step-by-step explanation:

Answer:

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=