Trig ratios and heights/distances.
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Q1 · Trigonometry · EASY
If sin θ = 3/5, then what is the value of tan θ?
Q2 · Trigonometry · MEDIUM
A ladder 25 m long reaches a window 24 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 7 m high. What is the width of the street?
Q3 · Trigonometry · MEDIUM
From the top of a 120 m high lighthouse, the angle of depression of two ships on opposite sides of the lighthouse are 30° and 45°. What is the distance between the two ships? (Take √3 = 1.732)
Q4 · Trigonometry · HARD
If sin A + cos A = √2, then what is the value of sin A × cos A?
Q5 · Trigonometry · MEDIUM
If sin θ = 3/5 and θ lies in the second quadrant, what is the value of tan θ?