Answer:
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
Step-by-step explanation:
At first we include a geometrical representation of the statement, which is shown in the image attached below. We can determine the horizontal distance between the lifeguard and the person by means of the following trigonometrical relationship:
(1)
Where:
- Angle of depression to the person, measured in sexagesimal degrees.
- Height of the lifeguard above the ground, measured in feet.
- Horizontal distance between the lifeguard and the person, measured in feet.
If we know that and , then the horizontal distance between the lifeguard and the person is:
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
Do a proportion
60/100= x/300
60 x 300= 18,000
18,000 divided by 100= 180
Answer is 180
Or you could have done .60 x 300 and got 180.
It will cost $30.48 to fill a 12 gallon tank.
Step-by-step explanation:
Given,
Cost of gasoline = $2.54 per gallon
Number of gallons in tank = 12 gallons
Cost of 12 gallons = Cost of gasoline per gallon * Number of gallons
Cost of 12 gallons = 2.54 * 12
Cost of 12 gallons = $30.48
It will cost $30.48 to fill a 12 gallon tank.
Keywords: multiplication
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