Advertisements
Advertisements
Question
Use the information given to find the length of AB.
Solution
From right triangle AQP
tan 30° = `"AQ"/"AP"`
`(1)/sqrt(3) = (10)/"AP"`
AP = `10xxsqrt3`
AP = 10 × 1.732
AP = 17.32
In ΔPBR
tan 45° = `"PB"/"BR"`
`1 = "PB"/(8)`
PB = 8
Therefore,
AB = AP + PB
= 17.32 + 8
= 25.32
APPEARS IN
RELATED QUESTIONS
Find 'x', if :
Find angle 'A' if :
Find angle 'x' if :
In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and ∠ A = 60°. Find: length of AB
In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB.
Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: AE.
Find: BC
A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.
A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60° with the level ground.
Find PQ, if AB = 150 m, ∠ P = 30° and ∠ Q = 45°.
The perimeter of a rhombus is 96 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.
