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How to get these variables?

How to get these variables?-example-1
User Thomh
by
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1 Answer

3 votes

Given:

Right triangle with one angle 45°

To find:

The value of q and r.

Solution:

Opposite to θ = 16

Adjacent to θ = r

Hypotenuse = q

Using trigonometric ratio formula:


$\tan \theta =\frac{\text{Opposite side to } \theta}{\text{Adjacent to } \theta}


$\tan 45^\circ =(16)/(r)

The value of tan 45° = 1


$1 =(16)/(r)

Do cross multiplication, we get

r = 16

Using trigonometric ratio formula:


$\sin \theta =\frac{\text{Opposite side to } \theta}{\text{Hypotenuse}}


$\sin 45^\circ =(16)/(q)

The value of sin 45° =
(1)/(√(2) ).


$(1)/(√(2) ) =(16)/(q)

Do cross multiplication, we get


q=16√(2)

The value of r is 16 and the value of q is
16 √(2).

User Ccleve
by
8.1k points

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