Question

How do I answer these questions?

Answer 1

Answer:

cross multiplication would be the quickest technique that works to visualize this set of questions..

if $\frac{a}{b} = \frac{c}{d}$  then ad = bc

each item that does not have a denominator add a "1" as the denominator

so first item... $\frac{sin(50)}{1} = \frac{x}{4}$  

$\frac{4 * sin(50) }{1} = x$     x = $4\sin \left(50^{\circ \:}\right)=3.06417\dots$

#b) $3\tan \left(81^{\circ \:}\right)=18.94125$

#c) $6\cos \left(33^{\circ \:}\right)=5.03202$

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#g)$7.1\tan \left(18.4^{\circ \:}\right)=2.36185$

Step-by-step explanation:

Answer 2

Answer:

First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .

a)

$\sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06$

b)

$\tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93$

C)

$\cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98$

d)

$\cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90$

e)

$\sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70$

f)

$\tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9$

g)

$\frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34$

h)

$\frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77$

i)

$\frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56$

I hope I helped you^_^