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dexar [7]
3 years ago
8

An extension ladder leans agintst a biulding, making a 75 degree angle of elevation with the ground. The base of the ladder is 8

ft from the base of the building.
To the nearest tenth of a foot, how long is the ladder?
Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0
Use soh-cah-toa so for this problem use soh which would be sin75=8/x
sin75= .9659
multiply both sides by x and divide both sides by .9659
you end up with the equation x=8/.9659
 and you get about
x=8.3ft
3241004551 [841]3 years ago
5 0
For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:

tan (value) = opposite/adjacent

tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)

8 * tan 75 = opposite

29.8564065 = opposite

So, the ladder is 29.9 feet.
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Step-by-step explanation:

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4 years ago
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Use the unit circle to find sec (-90)
andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

  1. Draw the vertical line passing trough (1,0)
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  3. The length of OP is the secant of your angle.

Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}

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4 0
3 years ago
What is the 75th term of the arithmetic sequence -1, 5, 11
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75th term = 443

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The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is th
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D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2L+2W.

If the width is W=12\:units and the length is L=18\:units, then the perimeter becomes:

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Therefore the answer is

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

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