Answer:
XXXXXXXXXXXXXXXXXXXX Ion know
Since
∠CPD = x
and segment PN is the angle bisector of this angle, therefore segment PN
equally divides ∠CPD into two angles. Which means that:
∠CPN = ∠NPD = x / 2
Further,
segment PN is also the perpendicular bisector of AB which further means that
the intersection formed by PN and AB creates a right angle (90°). Therefore:
∠NPD + ∠DPB = 90°
x/2
+ ∠DPB =
90°
∠DPB =
90 – x/2
Therefore:
sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>
However we know that the
relationship of sin and cos is:
sin(π/2
- θ) = cos θ
Where,
π/2
= 90
θ =
x/2
Therefore:
sin(90 – x/2) = cos(x/2)
Answer:
<span>cos(x/2)</span>
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):

Multiply both sides by 1.6:

This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:

The length of side AC, the hypotenuse, is 4 inches.
875 x 12 = 10500ft squared
950 x 6 = 5700ft squared
10500 + 5700 = 16200
the total floor area is 16200 squared feet
10 different groups can ski.
This is a combination of 5 items taken 3 at a time: