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
Answer:
c
Step-by-step explanation:
The slope-intercept equation is y=mx+b.
The slope formula is 
Our three points are (5,5), (-5,-7) and (0,-1)
Using our slope formula our slope becomes 
Then, if we use one of our points (pick whichever you want, although (0,1) is the easiest) to solve the equation. So, 
. When we solve for x and y, we get -1=0+b, or b=-1.
When we plug that back into the equation, we get.
Answer:
24 square feet
Step-by-step explanation:
The purple part is 2 feet wide and 12 feet long. 2*12=24
