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
6035 theres nothing to take from or add to it
Let the legs of the triangle be a and b, and the hypotenuse c.
Your first instinct might tell you to use the Pythagorean theorem to go about solving this because

. This works, but it is slow.
The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
Answer:
Each remaining piece is 2.25 ft.
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<u>D.</u></h2><h3>
It's incorrect, because 6 squared = 36, 8 squared = 64, add them together and you get 100. 12 squared does NOT equal 100, it equals 144.</h3>
<em>(To find the hypotenuse {longest side of the triangle}, you square the two short sides, add them together, and finally, divide it by the provided number, and see if the number matches the provided number's square.)</em>
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Brainly if correct and Thanks!</h3>