An airplane has an airspeed of 500 kilometers per hour (k/hr) in a northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).

1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.

2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem