Question 2

1 pts

A ship sails for 400 miles on a bearing of 60°. It then changes directions and sails for

100 miles on a bearing of 150°. How far away is the ship from its starting point?

10 170000 miles

360.555 miles

300 miles

412.310 miles

412.310 miles

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. The bearing is taken with respect to the northern direction. The angles at B are determined by applying the concept of alternate angles with respect to parallel lines.

A right angle triangle ABC is formed. The starting point is A and the end point is C. The distance, x between A and C represents the hypotenuse of the triangle.

We would determine x by applying Pythagoras theorem which us expressed as

Hypotenuse² = opposite side² + adjacent side²

x² = 400² + 100² = 170000

x = √170000

x = 412.310 miles

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation: