Advertisements
Advertisements
Question
In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
BC is `sqrt(3)` times of AB.
Advertisements
Solution
Consider the figure
Again from the figure
`"BC"/"AB" = (sqrt3x)/x`
tan θ = `sqrt(3)`
tan θ = tan 60°
θ = 60°
Therefore, magnitude of angle A is 60°.
APPEARS IN
RELATED QUESTIONS
Find angle 'A' if:
Find 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: AC
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: AC
In right-angled triangle ABC; ∠ B = 90°. Find the magnitude of angle A, if: AB is √3 times of 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.
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.
