Answer:
48.2°
Step-by-step explanation:
If a 15' ladder is leaned up against a building so that the bottom of the ladder is 10' from the base of the building, what angle does the ladder make with the ground
Let the angle the ladder makes with the ground be represented by x
We solve the above question using the Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = 10 inches
Hypotenuse = 15 inches
Hence,
cos x = 10/15
x = arc cos (10/15)
x = 48.189685104°
Approximately = 48.2°
Therefore, the angle the ladder makes with the ground is 48.2°
Answer:
72 feet from the shorter pole
Step-by-step explanation:
The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.
The shorter pole height as a fraction of the total pole height is ...
18/(18+24) = 3/7
so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:
d/168 = 3/7
d = 168·(3/7) = 72
The wire should be anchored 72 feet from the 18 ft pole.
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<em>Comment on the problem</em>
This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.
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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:
L = √(18²+x²) + √(24² +(168-x)²)
and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.
Answer:
- 15 and -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Look at the corners
<span>Scott read 4. Put it this way: x=4. If = 4, then put it into an equation. 5x-3= 17. So, you add three to both sides, then it comes out as this: 5x= 20. Divide by five, and you get x= 4.</span>