Primary trig ratios — find a missing angle
Use inverse trig ratios to find a missing angle of a right triangle given two sides, in a real context. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
You are standing 12 m from the base of an office tower, which is 11 m tall. What is the angle of elevation from where you're standing to the top of an office tower? Round to the nearest degree.
tan(angle) = opposite / adjacent
Answer: 43
See one solved, step by step
A ladder 14 m long is placed so its base is 10 m from the wall. What angle does the ladder make with the ground? Round to the nearest degree.
cos(angle) = adjacent / hypotenuse
📘 Worked solution
1cos(angle) = 1014 = 0.7143Cosine relates the side adjacent to the angle to the hypotenuse.
2angle = cos-1(0.7143) = 44.42degUse the inverse cos (arccos) to undo cos() and find the angle.
3angle ~ 44degRound to the nearest degree.
Ready to master it?
Jump into unlimited practice — your Winny Score tracks you to 100. And if it won't click, a real tutor will make it click: first lesson free.
Start practicing