which sine ratios are correct for ∆pqr? check all that apply

sin(p)=r/q
sin(p)=p/q
sin(q)=r/p
sin(r)=q/r
sin(r)=r/q

As, the given triangle, ΔPQR, is a right angle triangle, so by using the trigonometric relations, The correct options are:

Given information:

The triangle PQR is given

Where q is the hypotenuse and r and p are legs.

As, the given triangle, ΔPQR, is a right angle triangle, so one can use the trigonometric relations.

Now according to the trigonometry

The value of

Applying above expression in the given triangle

we get:

Hence the required solution is :

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Step-by-step explanation:

In the given graph, we have the right triangle PQR, where q is the hypothenuse and r and p are legs.

Now, if we want to the sin function of an angle, it would be like

That is, the sin of an angle is the quotient between its opposite leg and its adjacent leg.

So, in this case, if we apply this defintion to P and R angles, we have

Therefore, the right choices are the second and the last option.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c