Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

You will need to use knowledge of the sine and cosine functions from the acronym SOHCAHTOA.A bearing is an acute angle relative to the North/South line on a compass. Some examples are demonstrated below. ( see link )Explain how to solve each problem thoroughly, along with a thoroughexplanation of the concepts used to solve each problem.1. A car leaves a city at a bearing of N 50◦ E and travels in a straight line for 200 miles. How many miles north and how many miles east has the car traveled from the city?

Sagot :

The above diagram shows this situation. We have to find the values of x and y

Definition of sine

[tex]\sin (angle)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Applying this definition to the angle of 50°, and solving for x:

[tex]\begin{gathered} \sin (50^o^{})=\frac{x}{200} \\ \sin (50^o)\cdot200=x \\ 153.21\approx x \end{gathered}[/tex]

Definition of cosine

[tex]\cos (angle)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

Applying this definition to the angle of 50°, and solving for y:

[tex]\begin{gathered} \cos (50^o)=\frac{y}{200} \\ \cos (50^o)\cdot200=y \\ 128.56\approx y \end{gathered}[/tex]

Answer: The car traveled 153.21 miles east and 128.56 miles north

View image AriezB115883
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.