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
To find the median of the data, you have to first numerical order the data from smallest to largest:
Then, use your fingers and find the center number.
, <em />so the answer is C.
Answer:
x = (14,15,16,,,,,,n)
Step-by-step explanation:
Here,x belongs to set of natural number N
and Condition given for set is " x is greater than 13 "
Now, N=(1,2,3,4,5,6,,,,n) and given that x > 13.
thus, x = (14,15,16,,,,,,n)
117 divide 3 equals to 39 also they are equal groups as 39 x 3 equals to 117
Answer:
k = 3/7
Step-by-step explanation:
121212kkk = 848484
divide each side by 121212
kkk = 7
3k = 7
k = 3/7
