Answer:
The numbers are 20 and 140
Step-by-step explanation:
<u><em>The question in English is</em></u>
Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460
Define the variables
Let
x ----> the first number
y ----> the second number
we know that
-----> equation A
----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B
solve for x
<em>Find the value of y</em>
---->
The numbers are 20 and 140
Answer:
The height of the tree is H = 77.06 m
Step-by-step explanation:
From Δ ABC
AB = height of the tree
h = 0.9623 x ------- (1)
From Δ ABD
h = 0.77 (x + 20) ----- (2)
Equating Equation 1 & 2 we get
0.9623 x = 0.77 (x + 20)
0.9623 x = 0.77 x + 15.4
x (0.1923) = 15.4
x = 80.08 m
Thus the height of the tree is given by
H = 0.9623 x
H = 0.9623 × 80.08
H = 77.06 m
Therefore the height of the tree is H = 77.06 m
