Question #b03a6

1 Answer
Oct 9, 2017

27o To nearest degree.

Explanation:

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Since it doesn't specify which side is the hypotenuse, the triangle will be marked in the conventional manner, with side c being the hypotenuse.

Because of the large values we will reduce the dimensions by a factor of one hundred. This will not affect the size of the relevant angles .i.e similar triangles.

c2=a2+b2

c2=(4.9)2+(9.6)2=116.17c=116.17

Since we now know all three sides and one angle, we can use the Sine Rule:

sinAa=sinBb=sinCc

We are looking for angle A and we know angle C. So:

sinAa=sinCcsinA=asinCc

sinA=(4.9)sin(90)116.17=4.9116.17

A=arcsin(4.9116.17)=27.04o ( 2.d.p.)