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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.

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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 = [tex]180-68-34 = 78[/tex]

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

Using sine angle for triangles,

[tex]\frac{92}{sin 78} =\frac{x}{sin 34} =\frac{y}{sin 68}[/tex]

Simplify to get

x=52.595

y=87.207

Distance saved= [tex]x+y-92\\= 139.802-92\\=41.802[/tex]

klaous

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=

Read more on Brainly.com - https://brainly.com/question/15074037#readmore

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=

Read more on Brainly.com - https://brainly.com/question/15074037#readmore

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