Answer: Not safe
Step-by-step explanation:
Let the angle of elevation of the ramp be θ, then:
But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.
Therefore, the ramp at the local library is not safe for motorized wheelchairs
Answer:
4 : 25
Step-by-step explanation:
given 2 similar figures with linear ratio a : b , then
ratio of areas = a² : b²
here the linear ratio = 2 : 5 , then
area ratio = 2² : 5² = 4 : 25
Since they're both already in terms of y, you can just set them equal to each other.
4x = 1/2x + 280
3.5x = 280
x = 80
So 80 would be the amount he needs to sell to make the cost and revenue equal each other.
Remark
In a 30-60-90 triangle the opposite side and the hypotenuse of a 30 degree angle are in the ratio of 1:2. That means if the opposite side to a 30 degree angle is 5, then the hypotenuse should be 10.
Step one
Solve for y
ratio of 30 degree angle = opposite / hypotenuse
Givens
opposite = 5
hypotenuse = x
Ratio of 30 degree angle in a right triangle = 1/2
Sub and Solve
1/2 = opposite / hypotenuse
1/2 = 5 / hypotenuse Multiply both sides by hypotenuse
0.5 * hypotenuse = 5 Divide by 0.5
hypotenuse = 5/0.5
hypotenuse = 10
Step 2
Find x
Givens
hypotenuse = 10
In a 30 - 60 - 90 triangle the ratio of the adjacent side to the hypotenuse = sqrt(3) / 2
Sub and solve
sqrt(3)/2 = adjacent / hypotenuse
sqrt(3) /2 = adjacent / 10 Multiply both sides by 10
10 * sqrt(3) / 2 = adjacent Cancel
5 * sqrt(3)
