Advertisements
Advertisements
प्रश्न
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: AB.
Advertisements
उत्तर
From the triangle ADC we have
tan 45° = `"AD"/"DC"`
1 = `(2)/"DC"`
DC = 2
Since AD || DC and AD⊥EC, ABCD is a parallelogram and hence opposite sides are equal.
∴ AB = DC = 2 cm
APPEARS IN
संबंधित प्रश्न
Find angle 'A' if:

Find angle 'x' if :
Find the length of AD.
Given: ∠ABC = 60o.
∠DBC = 45o
and BC = 40 cm.

Find the lengths of diagonals AC and BD. Given AB = 60 cm and ∠ BAD = 60°.

Use the information given to find the length of AB.

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 AB and BC, if:

If tan x° = `(5)/(12)`,
tan y° = `(3)/(4)` and AB = 48 m; find the length of CD.
The perimeter of a rhombus is 96 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.
