Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
If you sold 68 boxes of carrot we have:
If you sold 71 boxes of potatoes, we have:
The number of boxes I take home is given by:
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain