area is 36...............
Answer:
a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft
b) The length of the beam is approximately: 10.4 ft
Step-by-step explanation:
First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:
tan(angle) = opposite side / adjacent side
We know the angle and the opposite side and we want to find the adjacent side:
adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft
In order to find the length of the light beam, we use Pythagoras Theorem:
leg1²+leg2² = hyp²
Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:
hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft
Answer:
Step-by-step explanation:
Area of a rectangle is given by:
....[1]
where
l is the length
w is the width of the rectangle respectively.
As per the statement:
the length of a rectangle is four times its width.
⇒
It is also given that: area of rectangle is 1024 cm square
Substitute the given values in [1] we have;
⇒
Divide both sides by 4 we have;
or
Taking square root both sides we have;
cm
Therefore, the width of the rectangle is, 16 cm
volume=length x width x height
length=3, width=2, height=5
so you just multiply 3x2x5 to get 30
