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almond37 [142]
1 year ago
11

the proper angle for a ladder is about 75 degrees. from the ground. suppose you have a 9 foot ladder. how far from the house sho

uld you place the base of the ladder ? round answer to at least 2 decimal places

Mathematics
1 answer:
icang [17]1 year ago
3 0

ANSWER:

2.33 foot

STEP-BY-STEP EXPLANATION:

We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

\begin{gathered} \cos \theta=\frac{\text{ adjacent}}{\text{ hypotenuse}} \\ \theta=75\text{\degree} \\ \text{ hypotenuse = 9 foot} \\ \text{adjacent = x} \end{gathered}

Replacing and solving for x:

\begin{gathered} \cos 75=\frac{x}{9} \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}

The distance would be 2.33 foot

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What number is 9 times as much as 400 ? A 391 B 409 C 3,600 D 3,609​
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8 0
2 years ago
Determine the value of x
KATRIN_1 [288]

Answer:

The value of x is 12 feet

Step-by-step explanation:

The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.

To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.

Area of rectangle = length X breadth

Area of triangle = 1/2 base X height.

However, to calculate the area of the triangle, we need to find its height first.

The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.

Height of triangle = 16 ft - 10 ft = 6 ft

recall area = 156 square feet.

We now have most of our missing dimensions

We can now set up an equation as follows:

(10 \times x) +0.5 \times x \times 6 = 156

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Therefore the value of x is 12 feet

8 0
3 years ago
Evaluate the expression if a = 3, b = 5, and c = 6.<br> c^2 + 3a × b
vladimir1956 [14]

Answer:

<h3> 81 is your answer.☺</h3>

Step-by-step explanation:

a = 3, b = 5, and c = 6

c^2 + 3a × b

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36+9×5

36+45

81 => Ans

Hope this helps

Keep Smiling :)

4 0
3 years ago
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