Answer:
The rider is 15.91 seconds 50 ft above the ground after reaching the low point
Step-by-step explanation:
We can evaluate the angle α
using trigonometry applied to the orange small triangle with height 50-30 = 20 ft and hypotenuse equal to the radius r = 25ft
Now
So 50
ft of height corresponds to the total angle:
= 2.498 radians
Now the angular velocity
To describe 2.498 rad it will take:
t = 15.91
s
The 87 degree angle is a supplementary angle, and the corresponding angle (BAC) is 93 degrees. I know this because two supplementary angles add up to 180 degrees. 180 degrees - 87 degrees = 93 degrees. :D
Answer:
The ship is 25.54 miles far from the light house.
Step-by-step explanation:
It is given that A boat travels 26 miles East from a lighthouse then changes direction traveling 15° South of West for 13 miles that is :
BC=c, BA=26 miles and CA=13miles
Then, applying the cosine formula in ΔABC, we get
⇒
⇒
⇒
⇒
Therefore, the ship is 25.54 miles far from the light house.
Answer:
150π
Step-by-step explanation:
Circumference of a circle = 2πr
Here, r = 75
Hence, 2*π*75 = 150π
Answer:
Step-by-step explanation:
