Here we are finding x, given the angle and adjacent side. To find x we will use the function cos as cos = a/h.
So let's do cos(35°) = 15cm / x
cos(35°) = 0.8 (1 dp)
x = 15 cm / cos(35°)
x = 18.3 cm (1 dp)
Answer:
Radius r=0.30m, Velocity, v=36m/s
(a) angular speed w=
r
v
=
0.3
36
=120rad/s
(b) final angular speed w
′
=0
From rotational kinematics w
′
2
−w
2
=2αθ
0−14400=2α×40×2π
⇒α=
160π
−14400
=−28.6rad/s
2
'Distance covered
=40×2πr
=40×2π×0.3=75.39m
Answer:
279 feet
Step-by-step explanation:
To find x, we solve using the Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = 64°
Length of the shadow = Adjacent = 136 feet
Height of the building = Opposite = h
Hence,
tan 64 = h/136 feet
Cross Multiply
h = tan 64 × 136 feet
h = 278.84132245 feet
Approximately, h to the nearest foot ≈ 279 feet
Therefore, the height of the building = 279 feet

is
real and
rational.
For it to be an integer, whole, or natural number, it would have to be a whole number. Since it can be written as a repeating decimal (.6666666...) it is not irrational either.
Just use proportions for the "corresponding sides" in each

then just solve for "x" and "y" respectively