Answer: The height of the pole is 175.97 ( approx )
Step-by-step explanation:
Let the height of the pole is x cm,
Also, let the angle of elevation of the sun to the pole at 3 pm is 
Thus, by the question,

( at 3pm the height of shadow = height of the pole)


Again, according to the question,
When the angle of elevation is
,
The height of shadow = x + 95,






Answer:
4:5
Step-by-step explanation:
since there are 4 oranges bought for every 5 apples, the ratio of oranges to apples sold is 4:5
Answer:
The last one.
Step-by-step explanation: Because 1/2 divided by 4 = 1/8 and 1/2 x 4/1 = 2
Answer:
<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>
<em></em>
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat =
==>
= <em>21.66 knot</em>
<em></em>
direction of boat = 
==>
= <em>43.05°</em>
ns +sb = 5.4 cm
sb = en so en can be plugged in for sb
therefor es = 5.4