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nae467
16.01.2020 •
Mathematics
At a point to hundred feet from the base of the building, the angle of elevation to the bottom of the smokestack it’s 35°, and the angle of elevation to the top is 53°. find the height of the smokestack
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Ответ:
The height of the smokestack is 132.7 feet
Step-by-step explanation:
Given as :
The distance of point to the base of building = d = 100 feet
The angle of elevation to bottom of smokestack = 35°
The angle of elevation to top of smokestack = 53°
Let The height of the building = h feet
Let The height of smokestack = H feet
Now, According to question
From figure
In Δ AOB
Tan angle =![\dfrac{\textrm perpendicular}{\textrm base}](/tpl/images/0457/5052/a5d65.png)
Or, Tan 35° =![\dfrac{\textrm AB}{\textrm OA}](/tpl/images/0457/5052/b7eca.png)
Or, Tan 35° =![\dfrac{\textrm h}{\textrm 100 feet}](/tpl/images/0457/5052/da8e8.png)
Or, 0.7002 =![\dfrac{\textrm h}{\textrm 100 feet}](/tpl/images/0457/5052/da8e8.png)
∴ h = 0.7002 × 100
I.e h = 70.02 feet
So, The height of the building = h = 70.02 feet
Again
In Δ AOC
Tan angle =![\dfrac{\textrm perpendicular}{\textrm base}](/tpl/images/0457/5052/a5d65.png)
Or, Tan 53° =![\dfrac{\textrm AC}{\textrm OA}](/tpl/images/0457/5052/e7320.png)
Or, Tan 53° =![\dfrac{\textrm H}{\textrm 100 feet}](/tpl/images/0457/5052/41088.png)
Or, 1.3270 =![\dfrac{\textrm H}{\textrm 100 feet}](/tpl/images/0457/5052/41088.png)
∴ H = 1.3270 × 100
I.e H = 132.7 feet
So, The height of the smokestack = H = 132.7 feet
Hence, The height of the smokestack is 132.7 feet . Answer
Ответ:
Step-by-step explanation: how about you anwser this in exchange typical household circuits can carry a maximum current of 15 A if a wire has a resistance of 8.0Ω determine the voltage across the energy source.