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vampirchik [111]
3 years ago
13

The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of

the ladder is 42 ft from the base of the wall. How long is the ladder? Round your answer to the nearest whole number.
Mathematics
1 answer:
Elena L [17]3 years ago
6 0
You can use the cos Ф = base / hypotenuse.
 In this case, you have h = 42/cos 35 (approx. 0.819)
h = 42/0.819 = 51.3

To the nearest whole number, the length of the ladder is 51 feet.

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If the given values in a right triangle are cos A =
Vlad1618 [11]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²---->  equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0
4 years ago
100 POINTS HELP ME PLZZ
Alja [10]

Answer:

24 x 24 x 36=1728 or

24+24+36=84

hope this helps :) plz brainliest if does

Step-by-step explanation:

7 0
3 years ago
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Someone please help me with this math problem! :(
Assoli18 [71]
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15

Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15

Then:
8x²=2ax²
a=(8x²)/(2x²)=4

bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22

Answer: a=4 and b=22.
5 0
3 years ago
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Ben is 4 times old as ishaan. 6 years ago, Ben was 6 times as old as ishaan <br> How old is Ben now?
SpyIntel [72]

Answer:

60years

Step-by-step explanation:

let Ben age = x

ishaan age = y

Ben is 4 times old as ishaan:

x=4y ..........equation (1)

6 years ago

Ben age = x-6

Ishaan age = y-6

x-6=6(y-6)

x-6=6y-36

x=6y-36+6

x=6y-30..........equation (2)

equating equation(1) and (2)

4y=6y-30

4y-6y=-30

-2y=-30

y=-30/-2=15

substituting the value of y into equation (1)

x=4y

=4*15

=60

Ben age now =60years

7 0
4 years ago
What is the exact volume of the cone?
ipn [44]
C hope that helped have a great time I love it you can do
7 0
3 years ago
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