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
Your answer is B. 2
This is because to rationalise the denominator, we need to multiply it by (3 - √7), so we get:
(3 + √7)(3 - √7)
3 × 3 = 9
3 × √7 = 3√7
3 × -√7 = -3√7
√7 × -√7 = -7
So all in all you get 9 - 7 which is 2.
I hope this helps!
850. If there is 17 red beads for every 150 beads Then you would divide 7500 by 150 and you get 50. Then multiply 50 with 17 and your answer is 850 red beads. 7500/150=50. 50 x 17= 850.
Assuming you're concerned with interest rate problems, r is generally involved in something like the formula ...
... i = prt
So, r will have the units of ...
... r = i/(pt) = (dollars)/(dollars·year) = 1/year
That is, r is <em>(some fraction) per year</em>.
_____
Often, the fraction is expressed as a percentage. The fraction will be unitless (as percentages are), leaving the units of r as year⁻¹.
Evaluate
x⋅y, then set it equal to x+y.
X = y / y-1
