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Aliun [14]
3 years ago
12

Analyze the diagram below and complete the instructions to follow. Find a, b and c

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6

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10 ft to nearest foot.

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A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface ar
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Answer:

\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}

<h2><u>GIVEN</u><u> </u>- </h2>

  • Water tank which is in a shape of right rectangular prism

Dimensions = 6 feet × 4 feet × 7 feet

<h3><u>TO</u><u> </u><u>FIND</u><u> </u><u>-</u><u> </u> </h3>

  • Surface area of tank

<h2><u>SOLUTION</u> - </h2>

<em><u>Using</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>surface</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>

Surface area =

2(wl  + hl + hw)

L = length

w = width

h = height

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Putting value of L, W and H in the equation. we get,

=2(4 × 6 + 7 × 6 + 7× 4)

= 2(24 + 42 + 28)

= 2( 94)

= 2 × 94

= 188

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