Question
A ladder leaning against a wall makes an angle of 60°
with the ground. If the ladder is 10 meters long, how high up the wall does it reach?Solution
ATQ, Let the height the ladder reaches be h. Using sine function: sin 60° = h / 10 h = 10 * sin 60° = 10 * √3/2 = 5√3 meters
The sides of a triangle are 15 cm, 20 cm, and 25 cm. A smaller triangle is drawn inside it such that its sides are proportional to the original triangle...
What is the area of a triangle whose sides are 13 cm, 14 cm and 15 cm?
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
A triangle has sides 13 cm, 14 cm, and 15 cm. What is the radius of its incircle?
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
Find the area of a trapezium whose parallel sides are 12 cm and 18 cm and the distance between them is 9 cm.
Find the length of BC, if ΔABC ~ ΔRQP and AC = 18 cm, RP = 12 cm and QP = 8 cm.
- Find the altitude of an equilateral triangle whose side is 8√3 cm.
In a right-angled triangle, the perimeter is 60 cm. If the base is 12 cm and the height is 16 cm, find the length of the hypotenuse.
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