Class 10MathematicsSome Applications of TrigonometryMix Examples - Some Applications of Trigonometry
MediumIn a right triangle,if the length of the hypotenuse is $12$ and the measure of one of the angles is $30^{\circ}$,then the measure of the side opposite to the angle is $\ldots \ldots \ldots \ldots$
- A$6 \sqrt{3}$
- B$6$
- C$\frac{6}{\sqrt{3}}$
- D$\frac{12}{\sqrt{3}}$
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$A$ ladder leans against a wall. It makes an angle of $45^{\circ}$ with the ground and reaches a height of $10 \, m$ on the wall. Find the length of the ladder and the distance between the lower end of the ladder and the base of the wall.
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View SolutionAn observer $1.5\, m$ tall is $28.5\, m$ away from a tower. The angle of elevation of the top of the tower from his eyes is $45^\circ$. Then the height of the tower is ............ $m$.
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View SolutionIn a right triangle,if the measure of one of the angles is $45^{\circ}$,then the measure of the side opposite to the angle with measure $45^{\circ}$ is $\ldots \ldots \ldots$ times the measure of the hypotenuse.
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View SolutionObserving from the top of a building,the angle of elevation of the top of a tower is $30^{\circ}$ and the angle of depression of the base of the tower is $60^{\circ}$. If the height of the building is $36 \, m$,find the height of the tower (in $m$).
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View SolutionThe angle of elevation of the top of tower $N$ from the base of tower $M$ is $40^{\circ}$. The angle of elevation of the top of tower $M$ from the base of tower $N$ is $55^{\circ}$. Then,.......
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