You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.
1 answer:
Answer:
AB = 185.77 feet
Step-by-step explanation:
From the figure attached, in ΔABC,
m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet
We have to find the measure of side AB.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
By applying sine rule in the given triangle ABC
AB =
= 185.77 feet
Therefore, AB = 185.77 feet will be the answer.
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Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = h
where: r is its base radius and h the height
volume of the given cylinder = x
x h
= x 4
x h
= h
volume of a sphere =
where r is the radius.
volume of the given sphere = x
= x 9
= 12
Since,
volume of the cylinder = volume of the sphere
Then we have;
h = 12
4 h = 36
subtract from both sides
4h = 36
x
divide both sides by 4
h =
= 9x
h = 9x