Right-triangle trig — 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 10 m from the base of a tree, which is 10 m tall. What is the angle of elevation from where you're standing to the top of the tree? Round to the nearest degree.
tan(angle) = opposite / adjacent
Answer: 45
See one solved, step by step
A kite string is 26 m long, and the kite is flying 17 m above the ground. What angle does the string make with the ground? Round to the nearest degree.
sin(angle) = opposite / hypotenuse
📘 Worked solution
1sin(angle) = 1726 = 0.6538Sine relates the side opposite the angle to the hypotenuse.
2angle = sin-1(0.6538) = 40.83degUse the inverse sin (arcsin) to undo sin() and find the angle.
3angle ~ 41degRound to the nearest degree.
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