Answer:
Hypotenuse = 14 inches
Adjacent = 12.12 inches
Step-by-step explanation:
Using SOH, CAH TOA Method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7 inches
Sin30° = 7/Hypotenuse
Hypotenuse = 7/Sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14 inches
The other leg will be the adjacent saying x using Pythagoras Theorem to get x
Hypotenuse^2 = Opposite^2 + Adjacent^2
14^2 = 7^2 + x^2
x^2 = 14^2 - 7^2
x^2 = 196 - 49
x^2 = 147
x = sqrt of 147
x = 12.12 inches
USE THE IMAGE BELOW TO HELP YOU!
Answer:
Its 5,...................
Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
