What is an angle that crosses itself called?
1 answer:
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Answer:
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
So rewriting both equations using the tangents values, we have that:
From the first equation, we have that:
Using this value of x in the second equation, we have that:
Diagrams make explanations a lot easier so I created one, see bottom for the picture.
As GHF are all midpoints, that means the lines that connect them are half of the opposite sides.
CD = 2HF
DE = 2GF
CE = 2GH
As HF is 2x CD, and CD = 24:
HF = CD ÷ 2
HF = 24 ÷ 2 = 12
As DE = 2x GF and DF is 9:
DE = 2 x 9
DE = 18
As CE = 2x GH and GH = 7:
CE = 2 x 7
CE = 14
Hope this helps!
