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3 years ago

Pls help me not fail

Mathematics

1 answer:

nignag [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

= 18² + 12² - ( 2 × 18 × 12 × cos75° )

= 324 + 144 - 432cos75°

= 468 - 111.8

= 356.2 ( take the square root of both sides )

AC = $\sqrt{356.2}$ ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

$\frac{18}{sinA}$ = $\frac{18.9}{sin75}$ ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = $\frac{18sin75}{18.9}$ , then

∠ A = $sin^{-1}$ ( $\frac{18sin75}{18.9}$ ) ≈ 66.9°

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<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

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