An airpline flies 165 miles from point a in the direction 130degrees and then travels in the direction 245 degrees for 80 miles. approximately how far is the airplane from point a?

205.4 miles

Step-by-step explanation:

As per the question,

We have been provided that an airplane started flies 165 miles from point A  in the direction of 130 degrees and after that, it changes its direction to 245 degrees and travel to 80 miles again, which is drawn in the figure as below:

From the figure,

Let XY be the plane.

Now,

By using the cosine rule in triangle APR, we get

AP² = AR² + PR² - 2 × AR × PR × cos 115°

Now put the value from figure:

AP² = 165² + 80² - 2 × 165 × 80 × (-0.325)

AP² = 42205

AP = 205.4 miles.

Hence, the airplane is 205.4 miles far from point A.

can you add an image ?

step-by-step explanation:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.