A tree casts a shadow 15 m long when the angle of elevation of the sun is 45°. Find the height of the tree.
Solution of Right Triangles
Original Khojo Papers practice question — not from a past board paper.
8√3 ≈ 13.86 m
No citable source has been recorded for this record. Treat it as practice material, not as fact.
cos 30° = 12 ÷ l, so l = 12 ÷ (√3/2) = 24/√3 = 8√3 m.
From the same topic and chapter, at a similar level.
A tree casts a shadow 15 m long when the angle of elevation of the sun is 45°. Find the height of the tree.
Solution of Right Triangles
In a right-angled triangle with hypotenuse 10 cm and one angle 30°, the side opposite the 30° angle is:
Solution of Right Triangles
In a right-angled triangle the hypotenuse is 20 cm and one acute angle is 30°. Find the two remaining sides.
Solution of Right Triangles
A ladder leaning against a wall makes an angle of 60° with the ground and its foot is 3 m from the wall. Find the length of the ladder.
Solution of Right Triangles
In a right-angled triangle one acute angle is 30° and the side opposite it is 7 cm. Find the hypotenuse and the third side.
Solution of Right Triangles
Factorise x4 − 81.
Factorisation