Answer: A
Step-by-step explanation:
|-8|-2n=6n
The absolute value of a number is how far it is from a number line.
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>
angle of elevation, aoe = 59 deg
height, h = 40ft
distance from pole, dfp
using
tan 59deg = h/dfp
=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft
H (4.84) will be the correct answer
