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uranmaximum [27]
2 years ago
12

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

Mathematics
1 answer:
laila [671]2 years ago
4 0

Answer:

The value of angle is 56.9°

Step-by-step 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 =  \sqrt{109.665}

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

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

\sin(θ)  =  \frac{opposite}{adjacent}

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

\sin(θ)  =  \frac{8.77}{10.47}

θ =  { \sin( \frac{8.77}{10.47} ) }^{ - 1}

θ = 56.9 \: (1d.p)

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