Answer:
35.36 ft
Step-by-step explanation:
For an isosceles right triangle, the hypotenuse is √2 times the length of one side. So, the length of one side of your deck is ...
(50 ft) = √2 × side length
(50 ft)/√2 = side length ≈ 35.36 ft
So we have two similar triangles; with the given gate post and the flag pole. We are trying to find X, the height of the flag pole.
Since these triangles are similar, we can put the side lengths of each triangle in a proportion equal to each other.
The ratio of the height of the gate post over its shadow is 7 / 10. And the ratio of the height of the flag pole over its shadow is x / 30.
We have to cross multiply to figure out x alone. I’ll attach a picture so it’s a bit easier to see.
So we are left with 30 • 7 = 10x.
30 • 7 = 210.
210 = 10x
With your knowledge of basic algebra, you should know what to do. You divide 210 / 10, to get 21 ft. Which is your answer. Voila.
Answer:
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Step-by-step explanation:
The way to find an unknown is to isolate it.
n+14(-14)=15(-14)
n=1
Then we can check our answer by plugging it into the equation.
1+14=15
15=15
So n=1.
Answer:
120 degrees
Step-by-step explanation: