Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
In mathematics, the word 'of' always means multiplication, so to find out what 15% of $10.00 is, all we need to do is multiply the percentage by the dollar amount we are reducing.
In order to do this, we must first convert the percentage into a decimal. To do this, we can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.
15% = 0.15
So now, we can multiply.
0.15 * 10 = 1.5
which is our answer.
15% of $10.00 is $1.50.
Hope that helped! =)
There are 4 different outcomes.
Only one of the numbers is a 2, so you could get a 2 once out of 4 possibilities.
The probability of getting a 2, would be :
Ratio: 1/4
Decimal = 0.25
Percent: 25%
Answer:
The residual of the point
in the equation
is 
Step-by-step explanation:
We have been given point
where
.
Now the equation is
.
Plugging the value of
in the equation of
,
we have to find the predicted value of y and
.
So y predicted
.
To find the residual point we have to subtract the actual value from the predicted value.
As actual value of
along with the points
.
Residual point = Actual value - Predicted value.

So the residual for the point
is
.