A ski slope is 320 yards long with a vertical drop of 100 yards. Find the angle of elevation of the ski run. Round to the nearest degree.

18°

Step-by-step explanation:

A ski slope is 320 yards long with a vertical drop of 100 yards. Find the

angle of elevation of the ski run. Round to the nearest degree.

The formula for angle of elevation is given as:

sin θ =Opposite/ Hypotenuse

Opposite = Vertical drop = 100 yards

Hypotenuse = Ski slope = 320 yards.

Angle of elevation =

sin θ = 100/320

sin θ = 0.3125

θ = arc sin(0.3125)

= 18.209956864°

Approximately = 18°

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The answer is in the image 

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5