Answer:
x ≈ 17.32, y = 20
Step-by-step explanation:
sin (30°) = 10/y
=> y = 10/sin (30°)
=> y = 20
x = 
=> x ≈ 17.32
Answer:
She has to pay $2246.4 in taxes for this employee benefit.
Step-by-step explanation:
First find the annual travel allowance equal to weekly allowance x 52 weeks = $180 x 52 = $9,360
When you get the annual travel allowance, find the annual tax.
Annual tax =Annual travel allowance × Tax rate
=$9,360 × 0.24
=$2,246.40
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.
Answer:
So even though it'll be a little strange, you do just take the miles and divide by the hours. Since 1 1/3 is the same as 4/3 then the rate = (4/3)/(1/4).
That's the same as 4/3 * 4 = 16/3 miles per hour. Or 5 1/3 miles per hour.
Step-by-step explanation: