contestada

1. A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 8 miles due north to his place of work. If a road was made directly from his home to his place of work, what would its distance be? 1a. If the road was made as described above, how much shorter would the man’s one-way trip be every day?

Respuesta :

ogorwyne

Answer:

1.) 15.26

2.). 5.74 miles

Step-by-step explanation:

1. We will solve this using the pythagorean theorem

Ab² + bc² = ac²

= 13² + 8² = ac²

= 169 + 64 = ac²

233 = ac²

We take square root of both sides to get ac

√233 = ac

15.26 = ac

So the distance from his home to his place of work is approximately equal to 15.26

2. Actual distance = 13 + 8 = 21 miles

21 miles - 15.26 = 5.74miles

Therefore his one way trip would be 5.74 miles shorter everyday.

Otras preguntas