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navik [9.2K]
3 years ago
8

How would you sketch out this question?? Jamie has a 15-foot aluminum ladder. She wants to place the ladder against the side of

her house so she can change the light bulb in her solar-powered security lights that are 14 feet up the side of the house.

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Answer:\theta =68.96^{\circ}

Step-by-step explanation:

Given

length of ladder L=15\ ft

Height of light from floor h=14\ ft

so Jamie should inclined the ladder at an angle of \theta with the floor

such that \sin \theta =\frac{h}{l}

\Rightarrow \theta =\sin ^{-1}\frac{h}{l}

\Rightarrow \theta =\sin ^{-1}(\frac{14}{15})

\Rightarrow \theta =68.96^{\circ}

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A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.
Oksanka [162]
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
3 0
3 years ago
*WILL GIVE BRAINLIEST* the following function represents the production cost f(x), in dollars, for x number of units produced by
Trava [24]

Answer:

C.

Step-by-step explanation:

By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.

To find the minimum value, we want to find the y-coordinate of the vertex.

In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.

In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.

This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.

5 0
3 years ago
What is the surface area of the rectangle pyramid below?​
iren [92.7K]

Answer:

Um.. where's the picture?... wheres the rectangle and the measurements.

7 0
3 years ago
X*2+1=10 then x=? Tell me the value of x
Trava [24]

Answer:

<h2>4.5</h2>

Step-by-step explanation:

x \times 2 + 1 = 10

2x +  1 = 10

Move constant to R.H.S and change its sign

2x = 10 - 1

Subtract the numbers

2x = 9

Divide both sides of the equation by 2

\frac{2x}{2}  =  \frac{9}{2}

Calculate

x = 4.5

Hope this helps..

Best regards!!

6 0
3 years ago
Divide 3,724 ÷ 6. What is the remainder?
GalinKa [24]
Dividing 3,724 by 6 would equal 620.66666666 repeating. Or 620.667
Hope this helped :) 
6 0
3 years ago
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