Question

4. A ship travels due east at 10 mph for 5 hrs. It then turns on to a bearing 36° and continues for another 2 hrs. How far is it from its starting point?

Answer 1

35.8miles

Explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle

10 mph x 5hrs = 50 miles could be the longest side

+36 degree = 1/10 of full rotation, is likely to be opposite the smallest angle =20 degree opposite 20miles but we deduct 1/10 rotation to show 1/10 of 20 is 0.8 x 0.8 = 0.64 and is the inverse 1/10 of 36 degree.

We use trigonometry function the sine of the angle = the length of the opposite side. the length of the hypotenuse = 20/50 sin (30)= 1.25 and this estimates the larger angle 125

We find 35.8m through division.

We can check that 35.8 + 20 + 50 = 105.804 perimeter

We cna also multiply the radical adding -1 infront of the angle 36 and multiplifyling the scale of 5 and 2 = 2.5

2.17874 x -136 x 2.5 = -741

1800-741 = 1058/10 perimeter.

and each has angle 36, 124.8, 19.2