Answer:
67
Step-by-step explanation:
When two angles are complimentary, it means that, together, they make a 90 degree angle.
/_A + /_B must equal 90°
Distance of the person from the building (x)
tan 24 = 20/x => x = 20/tan 24 = 44.92 ft
The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.
Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
Answer:
Exponential transformation.
Step-by-step explanation:
y = log_3 (x + 3) - 2
To transform this into exponential, we have:
Adding 2 to both sides
y + 2 = log_3 (x + 3)
3^(y + 2) = x + 3
x = 3^(y + 2) - 3
Answer:
1)The rocket hit the ground at 
2)The maximum height of the rocket = 12.468 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation
y = -2 x² + 5 x + 7 ...(i)
Differentiating equation (i) with respective to 'x' , we get

Equating zero

⇒ -4 x +5 =0
⇒ -4 x = -5
⇒
<em> The rocket hit the ground at </em>
<em></em>
<u><em>Step(ii):</em></u>-
...(ii)
Again differentiating equation (ii) with respective to 'x' , we get

The maximum height at x = 
y = -2 x² + 5 x + 7



<em>The maximum height of the rocket = 12.468 feet</em>