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Wittaler [7]
2 years ago
13

-39.85 + 34.8 - .375

Mathematics
2 answers:
Monica [59]2 years ago
8 0
I believe it is -5.425
djyliett [7]2 years ago
3 0
-39.85+34.8-.375 = -5.425
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Step-by-step explanation:

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A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

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The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

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The top of the ladder to the ground represents

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The pythagorean theorem applies, which says

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36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

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----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

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  cos T = 6/14 = 3/7  

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 sin(64.623006647) = h/14

 

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Step-by-step explanation:

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Answer:

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