Pilot 1 and 2 plan to meet at the world’s

 

1-76c06666-447d-4455-8597-29d725db549e.PNG

Pilot 1 and 2 plan to meet at the world’s largest rock. Pilot 2 has  to fly 19 miles at a 45 degree angle. Pilot 1 has to fly at a 100 degree  angle to get to the rock. How far is pilot one from the rock and how  far is it between the two pilots’ starting points?

I will be using the law of sine to  solve this problem. The law of sine states that Sin A/a = Sin B/b = Sin  C/c, so 100/19 = 45/b = 35/c. 

so first we will separate this into two separate problems:  and 

To solve the first problem you will cross multiply and get 

next you will divide each side by 100 to get the final answer of b=8.55 miles.

To solve the next we will do the exact same thing. First we cross multiply to get 

 next we divide each side by 100 to get the final answer of c=6.65  miles. So pilot 1 will need to fly 8.55 miles to get to the rock and the  distance between both pilots’ starting points was 6.65 miles. 

Share This Post

Email
WhatsApp
Facebook
Twitter
LinkedIn
Pinterest
Reddit

Order a Similar Paper and get 15% Discount on your First Order

Related Questions