Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
If you there isn't enough digits to place, just add zeroes to product to make it a full product or don't even use a decimal point at all.
Circumference = 2pi r
80/360 x 2pi x r = 24pi
r = 54
