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:
her equation should be a² + 3² = 4²
Step-by-step explanation:
a² + 3² = 4²
a² + 9 = 16
a² = 7
a = 
a ≈ 2.6 inches
The equation for finding the area of one triangle is A=1/2(B)(H)
because we have two triangles, we do not need to divide the answer by two.
That being said, 8 times 12 is 96.
By installing a sprinkler for every 10 sq ft. of land we divide that by 10 and get 9.6
Because the decimal value is above 5, my answer would be that you need 10 sprinklers.
Answer:
yes
Step-by-step explanation:
8.25 would be since in the 0.05 would be larger than 0.02
