What are the values of the trigonometric ratios for this triangle?

drag the answer into the box to match each ratio.

sinθ =
cosθ =
tanθ =
answer options:
5/4, 3/4, 3/5, 4/3, 4/5, 5/3

Step-by-step explanation:

As we the trigonometric ratios of the triangle are represented as

Now we put the values of height , base and hypotenuse from the given triangle.

Now we can place the answers at the right place.

b. t=-25h+3

step-by-step explanation:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.