Question

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Answer 1

90 for both

Explanation:

90 this is because all right angle equal 90 degrees and, triangles all equal 180 in total so if u add all the angle together it equal 180. I hope this helps.

Answer 2

a = 3.46 , c = 9.9

Explanation:

These are the following identities:

`sinx=(perpendicular)/(hypotenuse) \\\\cosx=(base)/(hypotenuse)\\\\tanx=(perpendicular)/(base)\\`

Easier way to learn this is

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Sinx = per/hyp cosx = base/hyp tanx = per/base

So if use the angle 60° we can see that the opposite side(perpendicular) to the angle is 6 and the base side is a so we need the identity which uses the opposite side(perpendicular side) and the base side and not the hypotenuse so that is tan x so,

`tan\ 60=(6)/(a) \\\\1.732=(6)/(a)\\\\1.732a=6\\a=(6)/(1.732)\\\\a=3.46\\`

So a = 3.46

Now to calculate c:

If we take the angle 45° and see the opposite side(perpendicular side) is 7 and the hypotenuse is c so need the identity which uses the opposite side(perpendicular side) and the hypotenuse and not the base, which is sin x so,

`sin 45=(7)/(c)\\\\0.707=(7)/(c)\\\\0.707c=7\\\\c=(7)/(0.707)\\\\c =9.9\\`

so c = 9.9