Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;
The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.
The value of n in given proportion is 16
<u><em>Solution:</em></u>
We have to find the value of "n" in the proportion
<em><u>Given proportion is:</u></em>
<em><u></u></em>
<em><u></u></em>
We can solve the above proportion by cross-multiplying
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction
Set the two products equal to each other
Solve for the variable
Thus the value of n in given proportion is 16
Answer:
3.9, 19.5, and 78 miles
Step-by-step explanation:
8 divided by 6 = 1.3 1.3 miles = 1 hr
1.3 x 3 = 3.9
1.3 x 15 = 19.5
1.3 x 60 = 78
Jean Gray's total earnings over the past week was $3,925
Since Jean earns 4% for the first $2,00 business she does, she earns a base commission of = $2,000*0.04 = $80
Now, we need to find how of additional sales did Jean do over and above the base of $2,000. This is calculated as follows:
Total Sales = 3,925
Base sales =2,000
Add-on sales = 3,925-2,000 = 1,925
For the $1,925 sales, Jeans earns 8% commission, her commission for this will be 1,925*0.08 = $154
So, the total commission = $80 + $154 = $234
Her commission for the week was $234
