Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
2.8a^2=55
a^2=55/2.8
a= square root of 55/2.8
<span>Jack Watkins earns a base salary of $1500 a month, plus a 4% commission on the sales he makes. What is his gross pay of his sales for the month are $8000.
solution:
Gross pay=(salary)+(commissions)
base salary=$1500
commission=4%
monthly sales=$8000
commissions earned in cash
=4/100</span>×8000
=$320
thus
Gross salary=320+1500=$1820
The only value of p for which the equation has exactly 1 real number solution is p=0.
If p<0, there are no real number solutions and if p>0, there are 2 real number solutions.
Hope this helps,
Brian
The second one is the correct one