Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
Mixed number=4 8/10=4 4/5
improper fraction=48/10=24/5
Answer:
168.75, about 169 times
Step-by-step explanation:
1 yd= 36 in
300 yd= 10800 in
10800 in/ 64 in=168.75
