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
Ok, so I'm pretty sure you get it by just dividing 168 by 182 to get 0.923 etc. Then if you multiply it by 100 then you get your grade. Which is about a <em>92.3%</em>. Hope this helps.
(10*10) - 8 = 92
the answer is D.92
Answer:
(3, 4)
Step-by-step explanation:
vertex is (h, k)
this equation is written in the form of
y = a(x -h) +k
which is why the vertex is (3, 4)
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
