The length of the other two sides of the right triangle is as follows:
AC = 29.9
AB = 31.0
Trigonometric ratios:
Trigonometric ratio are used to find the angles and sides of a right angle triangle. The simplest trigonometric ratio are as follows;
- sin x = opposite / adjacent
- cos x = adjacent / hypotenuse
- tan x = opposite / adjacent
Therefore,
BC = 8
∠ A = 15°
∠B = 75°
∠C = 90°
Therefore,
using trigonometric ratio we can find AC and AB. Therefore,
tan 75 = opposite / adjacent
tan 75 = AC / BC
tan 75 = AC / 8
AC = 8 tan 75
AC = 29.8564064606
AC = 29.9
sin 75 = opposite / hypotenuse
sin75 = AC / AB
sin 75 = 29.9 / AB
AB = 29.9 / sin 75
AB = 30.9547842741
AB = 31.0
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