Step-by-step explanation:
![1 \:ft = 12 \: in \\ 9 \: ft = 108 \: in](https://tex.z-dn.net/?f=1%20%5C%3Aft%20%3D%2012%20%5C%3A%20in%20%5C%5C%209%20%5C%3A%20ft%20%3D%20108%20%5C%3A%20in)
![now \: \: \: l \times b \\ \: \: \: \: \: \: \: \: \: \: = 108 \times 40 \\ \: \: \: \: \: \: \: \: \: \: = 4320 \: \: in](https://tex.z-dn.net/?f=now%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20l%20%5Ctimes%20b%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%20%20108%20%5Ctimes%2040%20%20%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%3A%20%20%3D%204320%20%5C%3A%20%20%5C%3A%20in)
58. If you look at thirteen and find all the possible number combinations that add up to 13 you can then look at those to see if they are between 60 and 55 and find your answer. 5 + 8 is 13 and 58 is greater than 55 but still less than 60.
Answer:
7. one triangle
8. two triangles
Step-by-step explanation:
When you are given two sides and one of the opposite angles, you can make a determination as follows:
- If the given angle is <em>opposite the longest given side</em>, there is one solution.
- If the given angle is <em>opposite the shortest given side</em>, there may be 0, 1, or 2 solutions.
For the latter case, the possibilities for sides b, c, and angle C are ...
C > 90° . . . . . . . . no solution
(b/c)sin(C) > 1 . . . no solution
(b/c)sin(C) = 1 . . . 1 solution
(b/c)sin(C) < 1 . . . 2 solutions
(The expression (b/c)sin(C) gives sin(B), so the value must lie within the range of the sine function in order for there to be any solution.)
_____
7. The given angle is opposite the <em>longest</em> given side. There is one solution.
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8. The given angle is opposite the <em>shortest</em> given side, so we compute
(b/c)sin(C) = (34/28)sin(20°) ≈ 0.41
This is less than 1, so there are two solutions.
Answer:
1.84ft
Step-by-step explanation:
From the figure attached,
AB = Height of the window = 15ft
Let the distance between the base of the housr and the fence 'C' = xft
If the angle of depression = 7°
Then angle of elevation of the top of the fence from the house = 7°
Now from right triangle ABC,
tan7° = x/15
x = tan7°×15
x = 0.1227×15
x = 1.84ft
Therefore, distance of the house from the fence is 1.84ft
I don't think those two expressions would even be equal unless w = 0. You can't just add in a 2 from nowhere.