Adaptive Practice
Trigonometry and Geometry
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Question 1 of 10
⏱ 0:30
Easy
In a right-angled triangle, if one acute angle is 30°, what is the ratio of the lengths of the side opposite to this angle to the hypotenuse?
Easy
Find the value of sin² 45° + cos² 45°.
Medium
In triangle ABC, if angle A = 60°, angle B = 45°, and side a = 10 cm, find the length of side b using the Law of Sines.
Easy
Given a circle with radius 7 cm, find the length of an arc subtended by a central angle of 60°.
Easy
If tan θ = 3/4 and θ is in the first quadrant, find sin θ.
Medium
In triangle ABC, if AB = AC and angle BAC = 40°, find the measure of angle ABC.
Medium
Find the exact value of cos 75° using angle addition formulas.
Easy
The height of a tower is 50 m. From a point on the ground, the angle of elevation to the top of the tower is 30°. Find the distance from the point to the base of the tower.
Hard
In triangle ABC, the sides are in arithmetic progression and the largest angle is 60°. Find the ratio of the sides.
Easy
Find the area of a triangle with sides 7 cm, 24 cm, and 25 cm.