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choli [55]
3 years ago
7

A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63° with the wall ,find the distance between the

foot of the ladder and the wall
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

13.62 m

Step-by-step explanation:

We are to determine the value of the adjacent side given the value of the hypotenuse

we would use cos to determine this value

cos 63 = adjacent / hypotenuse

0.45399 = x / 30

x = 30 x 0.45399 = 13.62

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A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc
Olin [163]

Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0
3 years ago
25x-5 but the expression as a product
Sever21 [200]

Answer:5(5x-1)

Step-by-step explanation: for a product the equation above

25x-5

Since 5 is divisible by 25

25/5=5

5/5=1

5(5x-1)

3 0
4 years ago
Please help! College Algebra!
german
The volume would be (x+1)x(x+4)x(3x)= (x^2+x+4x+4)x(3x)= (x^2+5x+4)x(3x)= (3x^3)+(15x^2)+(12x)
Hence, the answer is the 4th option.
Hope this helped you, and if it did, please mark it as the brainiest answer. I would really appreciate it!
4 0
3 years ago
36 : 90 in simplest form
elena-s [515]
36:90 in simplest form would be 2:5

-Love, live, and watch anime.

7 0
3 years ago
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Can someone give me answers?
Alenkasestr [34]

Answer:

Maybe if you give a better quality photo that isn't sideways! :D

Step-by-step explanation:

7 0
3 years ago
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