Question
A 16-meter-long rope is stretched from the ground to the
top of a house, forming a 30° angle with the ground. Determine the height of the house.Solution
Let AB be the height of the house and AC be the length of the rope
In right ΔABC
sin30° = (AB/AC)
Or, (1/2) = (AB/16)
Or, AB = (16/2) = 8
Therefore, the height of the house = 8 metres
What value should come in place of (?) in the given expression.
450 ÷ 9 + 75% of 160 − 64 ÷ 4 = ?
2/5 of 3/4 of 7/9 of 14400 = ?
7/3 of 4/5 of 15/56 of ? = 83
[564 + 32 of 18 × 9 ÷ 12 + 162 ] ÷ 4 = ?
What should come in place of (?) question mark in the given expression.
 (25% of 320) + (3/8 of 400) − 30 = ?
45% of 360 - 160 + ? = √324
187 ÷ 5 ÷ 0.4 = ? – 24 × 2.4
Find the simplified value of the following expression:
[{12 + (13 × 4 ÷ 2 ÷ 2) × 5 – 8} + 13 of 8]
18 × 15 + 86 – 58 =? + 38
Â
√(24²+285-8²-172) = ?²