Trig ratios, identities, heights and distances.
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Q1 · Trigonometry · EASY
If sin θ = 3/5 and θ is an acute angle, what is the value of tan θ?
Q2 · Trigonometry · MEDIUM
A person standing at a distance of 60 m from a building observes the top of the building at an angle of elevation of 30°. What is the height of the building? (Use √3 = 1.732)
Q3 · Trigonometry · MEDIUM
If tan A + cot A = 5, what is the value of tan² A + cot² A?
Q4 · Trigonometry · HARD
From the top of a 75 m high lighthouse, the angles of depression of two ships on the same side of the lighthouse in a horizontal line with its base are 30° and 45°. What is the distance between the two ships? (Use √3 = 1.732)
Q5 · Trigonometry · EASY
If sin θ = 3/5, what is the value of tan θ?