Holly is in a plane which is flying in a line from point O in direction 056 degrees. after a while holly is at point A, 56km from O.
Calc. how far west holly is from O
2006-09-19 04:45:45 · 4 answers · asked by Mazaher 2 in Education & Reference ➔ Homework Help
I assume you mean 56 degrees from north.
Construct this a triangle, angle 56 degrees from north, where the adjacent side is the distance north, the opposite side is the distance west, and the hypotenuse is the total distance.
Thus, you need to use:
sin a = opposite / hypotenuse
Then plug your data in:
sin 56 = opposite / 56km
56km * 0.829 = opposite
46.426 km = distance west from O.
2006-09-19 04:52:29 · answer #1 · answered by ³√carthagebrujah 6 · 1⤊ 0⤋
If you draw a triangle, you have the angle as 56 degrees and hypotenuse as 56km. This implies that the distance from O westward = 56 * Sin 56 Degrees
= 56* 0.82904
= 46.4261
2006-09-19 05:02:08 · answer #2 · answered by kenyanmartin2000 2 · 0⤊ 0⤋
Visualizing a triangle, where the sides represent distances.
Holly's line of flight is the hypotenuse. We are asked what is the length of the horizontal reference line (passing through pt O).
Using trigonometric function cosine:
cos(theta) = A/ H
or
Cosine (angle) = length of horizontal line/ line of flight
from which:
length = cosine(angle) * line of flight = cos(56) * 56km = 31.3 km
Therefore, Holly was 31.3 km to the west of point O.
2006-09-19 05:01:28 · answer #3 · answered by Anonymous · 0⤊ 0⤋
You will learn nothing from getting others to do your homework.
2006-09-19 04:48:37 · answer #4 · answered by reconnermom 3 · 0⤊ 0⤋