A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.

Respuesta :

Louli
I attached the map for this question.

Answer:
distance = 259.4 yd

Explanation:
To answer this question, we will use the sine rule. The sine rule is also shown in the attached image.

Now, from the given map, we can assume that:
angle A = 54 degrees
a is the side opposite to angle A = 210 yd
angle B = 88 degrees
b is the side opposite to angle B which is the distance we want to find 

Substitute in the rule to get the distance as follows:
sin A / a = sin B / b
sin (54) / 210 = sin (88) / b
3.852 * 10^-3 = sin (88) / b
b = (sin (88)) / (3.852 * 10^-3)
b = 259.4 yd

Therefore, the distance we are looking for is 259.4 yd

Hope this helps :)

Ver imagen Louli
Ver imagen Louli