The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
<h3>Right angle triangle:</h3>
Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
- 160.809554025 + 1.5 = 162.309554025 m
learn more on right angle triangle here; brainly.com/question/13481976
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Answer:
5/4,2.5,3.7,4.75,5.5,6,28,29
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
8/1 ÷ 2/3
Keep the first fraction and flip the second one: 8×3/ 1×2
Multiply top and bottom: 24÷2
Simplified to be 12
Answer:
w=30 l=125
Step-by-step explanation:
Perimeter =2l+2w
p=310
w =width
4w+5 = length(4 times plus 5 the width)
2(4w+5) + 2w = 310
8w+10 = 2w =310
10w=300
w=30
30*4=120 120+5=125 l=125
2(125)+ 2(30)= 250+60 =310
