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Archy [21]
3 years ago
5

52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

9514 1404 393

Answer:

  32.5 ft

Step-by-step explanation:

The length of the side opposite the given angle is found using the sine relation:

  Sin = Opposite/Hypotenuse

  height on building = (33 ft)·sin(80°) ≈ 32.5 ft

The ladder reaches about 32.5 feet up the side of the building.

_____

<em>Additional comment</em>

The maximum angle compliant with OSHA safety rules is 75.5°.

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Question 2 (Essay Worth 10 points)
Luba_88 [7]

Answer:

Sam is incorrect.

Step-by-step explanation:

Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.

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2 years ago
Which of the following is the complete factorization of the polynomial below? x^3-5x^2+2x+8
Natasha2012 [34]

Answer:

(x+1)(x-4)(x-2)

Step-by-step explanation:

3 0
3 years ago
Write an algebraic expression for the following word: the quotient of r and 12
Ulleksa [173]

the answer is r÷12

Step-by-step explanation:

quotient means that you have to divide

4 0
3 years ago
What is the constant variation of k, of the direct variation, y=kx, through (5,8)
natka813 [3]

Answer:

The constant of variation is 1.6.

Step-by-step explanation:

y = kx  and x = 5 when y = 8 and k = the constant of variation.

8 = k*5

k = 8.5 = 1.6.

5 0
2 years ago
Read 2 more answers
Me ayudan por favor??<br> ¿Qué tres números consecutivos suman 156?
dolphi86 [110]
<h2>Answer:</h2><h3>51+52+53</h3><h2>Step-by-step explanation:</h2>

De tal forma que los números son: 51-52-53. Comprobando estos tres números consecutivos enteros: 51+52+53=156.

<em>espero</em><em> </em><em>que</em><em> </em><em>esto</em><em> </em><em>te</em><em> </em><em>ayude</em><em> </em><em>:</em><em>)</em>

5 0
2 years ago
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