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:
5
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
It's just a multiplication problem, 8 x 1/4 is 8/4, which is equal to 2.
Americo Vespuccio thought that lake Maracaibo looked like Venice because the aborigines who lived in the area built their houses on water. The aboriginal people called Añú have a tradition of living on water in houses made of magle wood.
200 gallons
5/5-4/5=1/5
1/5=40 gallon
40x5=200 gallon
