In the triangle below, what is the length of the side opposite the 60° angle? 60
3
о
30
А. ?
В. ?
С.?
D. ?

A. 3

Step-by-step explanation:

Because we know that the angles of this triangle are 30-60-90, we know that we can find the length of the sides. Because all 30-60-90 triangles follow the proportions for the sides that are shown in the picture, we can use that to find the length.

The side we are looking for is the side opposite the 60° angle, which is on the bottom, or the long leg. We have the measure for the short leg provided, which is 3, shown in the photo as x. The long leg that we are looking for is equal to ()x. We know x is 3, so we can plug it in. ()3 = 3

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.