Answer:
y=17x
Step-by-step explanation:
Write and solve an equation of ratios:
9 ft 22 ft
------- = -----------
h 99 ft
This is appropriate because h is greater than 9 ft.
cross-multiplying, we get
9(99) ft^2 = 22*h*ft
Then h =40.5 ft (which is the height of the building)
No. The line just has to go below ' 1 '.
D.68
A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.