Question

1. The base of an isosceles triangle is 14 cm in length and the angle opposite the base measures 86 degrees. Find the length of each of the congruent sides.


2. A ski slope has a 42 degrees incline and 170 yard long. Find the vertical drop.

Answer 1

draw in an altitude to the base , which would bisect the base.
So now you have a right angled triangle,
let the equal sides be x cm each
sin 43° = 7/x
x = 7/sin43 = appr 10.26 cm

For the second, I will assume that the 170 yrds is measured along the ski run
then
sin42 = x/170
x = 170sin42 = appr 113.75 yrds

Answer 2

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