Question

How do I answer these questions?

Answer 1

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) = (x)/(4) \\ 0.766 = (x)/(4) \\ x = 3.06`

b)

`\tan(81) = (x)/(3) \\ 6.31 = (x)/(3) \\ x = 18.93`

C)

`\cos(33) = (x)/(6) \\ 0.83 = (x)/(6) \\ x = 0.83 * 6 \\ x = 4.98`

d)

`\cos(75 ) = (x)/(3.5) \\ 0.258 = (x)/(3.5) \\ x = 0.2588 * 3.5 \\ x = 0.90`

e)

`\sin(24) = (x)/(4.2) \\ 0.406 = (x)/(4.2) \\ x = 0.406 * 4.2 \\ x = 1.70`

f)

`\tan(42) = (x)/(10) \\ 0.9 = (x)/(10) \\ x = 9`

g)

`(x)/(7.1) = \tan(18.4) \\ (x)/(7.1) = 0.33 \\ x = 0.33 * 7.1 \\ x = 2.34`

h)

`(x)/(5.3) = \sin(64.7) \\ (x)/(5.3) = 0.9 \\ x = 4.77`

i)

`(x)/(12.6) = \cos(52.9) \\ (x)/(12.6) = 0.6 \\ x = 0.6 * 12.6 \\ x = 7.56`

I hope I helped you^_^

Answer 2

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

if
`(a)/(b) = (c)/(d)` then ad = bc

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

so first item...
`(sin(50))/(1) = (x)/(4)`

`(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`

.

.

#g)
`7.1\tan \left(18.4^(\circ \:)\right)=2.36185`

Explanation: