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Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
The budget is $44000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
This value of will be the 100% before the 6% commission is calculated of it.
6% of is 25500
1% of is 25500 ÷ 6 = $4250
100% of is 4250 × 100 = $425,000
So, the maximum value of the home is $425,000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
This value of
6% of
1% of
100% of
So, the maximum value of the home is $425,000