A building that is 100 for tall casts a shadow that makes a 30 degree angle. Approximately how long in feet is the shadow across
the ground?
2 answers:
<h2>Hello!</h2>
The answer is:
The shadow is 173.20 feet
<h2>Why?</h2>To solve the problem, we need to calculate the projection of the building's shadow over the ground.
We already know the height of the building (100 feet), also, we know the angle of elevation (30°), so, we can use the following formula to calculate it:
Now, substituting the given information and calculating, we have:
Have a nice day!
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Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is: