Question

The length of the hypotenuse of a 30°-60°-90° triangle is 13 meters. Find the length of the side opposite the 30° angle.
a.

6.5 m

c.

11.3 m
b.

26.0 m

d.

22.5 m

Answer 1

@Thehulk49

Answer 2

You have to use sin30: opposite length/hypotenuse
Sin30: 0.5
So
0.5=opposite lenght/13
Opposite lenght=13x0.5
Opposite lenght: 6.5
Latter a

Answer 3

omg thank yaaaaaaallllllllll c':

Answer 4

This is what I got.

The length of the hypotenuse of a 30-60-90 triangle is 13 meters. Find the length of the opposite side 30 degree angle.
sohcahtoa: sin = opposite(opp)/hypotenuse(hyp),
cos = adjacent(adj)/hyp,
tan = opp/adj
a 30-60-90 triangle is half an equilateral triangle if the equilateral triangle has sides 1,1, and 1 then:
sin 30 = 0.5/1 = 0.5 (0.5 is half of 1)
cos 30 = adj/1 --> adj = sqrt(3)/2
30-60-90 triangles have the ratio 0.5:sqrt(3)/2:1 as their sides
so if the hypotenuse is 13 meters then the side opposite the 30 degree angle is:
13 * 0.5 = 6.5 meters

Answer 5

So the answer is 6.5