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GEOMETRY HELP im BEING TIMED

GEOMETRY HELP im BEING TIMED-example-1
GEOMETRY HELP im BEING TIMED-example-1
GEOMETRY HELP im BEING TIMED-example-2
GEOMETRY HELP im BEING TIMED-example-3
User Zeratas
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1 Answer

7 votes

Answer:

Part 1: x = 6.2

Part 2: u = 3.46 and v = 2

Part 3: Altitude = 5.196

Explanation:

Part 1:

From the given figure, we can write


\cos 59 = (x)/(12)

x = 12 cos 59 = 6.18 ≈ 6.2 (Answer)

Part 2:

From the figure we can write
\sin 60 = (u)/(4)

u = 4 sin 60 = 3.46 (Answer)

And
\cos 60 = (v)/(4)

v = 4 cos 60 = 2 (Answer)

Part 3:

Perimeter of the equilateral triangle is 18.

So, if each side is a, then 3a = 18

a = 6

Now, if we draw an altitude to the equilateral triangle then it will bisect the base perpendicularly.

If the altitude is x,

Therefore, applying Pythagoras Theorem we get

x² + 3² = 6²

⇒ x² = 27

x = 5.169 (Answer)

User Aviemet
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