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HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!

HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!-example-1
User Mosegui
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1 Answer

5 votes

Answer:

The value of angle is 56.9°

Explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :


{c}^(2) = {a}^(2) + {b}^(2)


let \: a = 8.25 \\ let \: b = 6.45


{c}^(2) = {8.25}^(2) + {6.45}^(2)


{c}^(2) = 68.0625 + 41.6025


{c}^(2) = 109.665


c = √(109.665)


c = 10.47cm \: (4s.f)

In order to find θ, you have to apply Sine Rule :


\sin(θ) = (opposite)/(adjacent)


let \: oppo. = 8.77 \\ let \: hypo. = 10.47


\sin(θ) = (8.77)/(10.47)


θ = { \sin( (8.77)/(10.47) ) }^( - 1)


θ = 56.9 \: (1d.p)

HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!-example-1
HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!-example-2
User Caleb Brinkman
by
8.0k points

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