The distance of the observer and height of the building form a right angle triangle. Using:
tan∅ = height/base
We calculate the height of the building:
height = 64tan(39)
height = 51.8 meters
The second angle is obtained when the height of both the building and tower are used:
Height(building + tower) = 64tan(48)
51.8 + tower height = 71.1
tower height = 19.3 meters
Answer
FIGURE IT OUT MY G
Reason:
Answer:
i) 60 trees
ii) 3600 apples
Step-by-step explanation:
50 trees per acre
Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds
Assumption :
lets assume the additional tree = X
Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30
calculate average yield per tree = ( 70 - x )
Total yield per acre = number of trees * average yield per tree
= ( 50 + x ) * ( 70 - x )
Y(x) = 3500 + 20x - x^2
i) Number of trees that should be planted per acre to obtain maximum yield per acre
y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10
Number of trees that should be planted per acre = 50 + 10 = 60 trees
ii) Calculate maximum yield
where ; X = 10
number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60
hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples
x² - 8x = 65
x² - 8x + 16 = 65
x² - 8x + 16 - 65 = 65 - 65
x² - 4x - 4x + 16 - 65 = 0
x(x) - x(4) - 4(x) + 4(4) - 65 = 0
x(x - 4) - 4(x - 4) - 65 = 0
(x - 4)(x - 4) - 65 = 0
(x - 4)² - 65 = 0
It is actually (x - 4)² - 65.
