I only need letter D

for an 8 foot ramp need to be elevated at an angle measure 10 degree to level with a step approximately how far does the ramp ne

d1i1m1o1n [39]

Answer:

7.878 ft far

Step-by-step explanation:

Given:

- A ramp is to be lifted to an angle Q = 10 degrees

- The total length of the ramp L = 8 ft

Find:

- how far does the ramp need to be away to hit the edge of the step

Solution:

- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.

- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:

cos(Q) = d / L

d = L*cos(Q)

- Plug in values:

d = 8*cos(10)

Answer: d = 7.878 ft

8 0

2 years ago

Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.

frutty [35]

Based on the calculations, the area of the shaded region is equal to 22 square foot.

<h3>How to calculate the area of the shaded region?</h3>

By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:

Area of shaded region = Area of square - Area of circle.

<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.

Radius = diameter/2 = 10/2 = 5 feet.

For the area of square, we have:

Area of square = S²

Area of square = 10²

Area of square = 100 square foot.

For the area of circle, we have:

Area of circle = πr²

Area of circle = 3.14 × 5²

Area of circle = 78.5 square foot.

Substituting the parameters into the formula, we have;

Area of shaded region = Area of square - Area of circle.

Area of shaded region = 100 - 78.5

Area of shaded region = 21.5 ≈ 22

Area of shaded region = 22 square foot.

Read more on area of circle here: brainly.com/question/2278809

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<h3>Complete Question:</h3>

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.