Answer:
6.25 feet.
Step-by-step explanation:
Please find the attachment.
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Answer:
y > 75
Step-by-step explanation:
Given that:
Starting number of boxes = > 100
Number of boxes sold = 25
Number of boxes left after selling 25
Let the number of boxes left = y
y = starting number of boxes - Numbe rof boxes sold
y = 100 - 25
y = 75
Since the starting number of boxes is more than 100
Then, y should also be more than 75
y > 75
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
Ok so the first step is to -1 from both sides. On the right side it cancels out and on the left side it = -16. So now your left with -16= 8x. Your still not done yet though. So now what you want to do is divide both sides by 8. On the right side it cancels out and you bring down x and on the left side it equals -2. So x=-2. So to verify it you have to plu -2 back into the equation. So -15= 8 Times -2 +1 so 8 Times -2 = -16 plus one is -15. Hoped that helped!!
