When the angle of elevation of the sun decreases from $60^{\circ}$ to $30^{\circ}$ the length of the shadow of the tower standing on the ground_____
- ✓increases
- Bdecreases
- Ccan not change
- Dcan not say any thing
Answer: A.
View full solution →Question types
Some Applications of Trigonometry question types
38 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
38
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
11 Q→02Fill In The Blanks[1 Marks ]
1 Q→032 Marks Questions
3 Q→043 Marks Question
19 Q→054 Marks Questions
4 Q→Sample Questions
Some Applications of Trigonometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In the given figure $P$ and $Q$ represent
- AAngle of elevation, line of vision
- BAngle of depression, horizontal line
- ✓Line of vision, Angle of elevation
- DHorizontal line, Angle of depression
Answer: C.
View full solution →In the given figure $\tan \theta=$
- ✓$\frac{12}{5}$
- B$\frac{5}{13}$
- C$\frac{12}{3}$
- D$\frac{5}{12}$
Answer: A.
View full solution →A ladder is placed along a wall such that its upper end is touching the wall at 4m high. The length of the ladder is $5m$. Then the foot of the ladder is .......... m away from the ground.>
- ✓$3$
- B$4$
- C$5$
- D$6$
Answer: A.
View full solution →There is a house, with height $x$ opposite to the hill. The height of the hill is $h$. The angle of elevation of the top of the hill from the bottom of the house is $\alpha$ and the angle of elevation of the top of the house from the bottom of the hill is $\beta$ then the value of $\frac{h}{x}$ is
- A$1$
- ✓more than $1$
- Cless than $1$
- DNone of these
Answer: B.
View full solution →There are two points $A$ and $B$ on the ground at East and West direction of the tower. From the top of the tower, the angles of depression of the points $A$ and $B$ are respectively $\alpha$ and $\beta . \beta>\alpha$ then the distance of the point is more from the tower. $(A, B, D)$
View full solution →The angle of elevation of the top of a tower from a point on the ground, which is $30\ m$ away from the foot of the tower, is $30^\circ$. Find the height of the tower.
View full solution →A circus artist is climbing a $20\ m$ long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is $30^\circ$.
View full solution →The shadow of a tower standing on a level ground is found to be $40\ m$ longer when the Sun's altitude is $30^\circ$, than when it is $60^\circ$. Find the height of the tower.
View full solution →The angle of elevation of the top of a building from the foot of the tower is $30^\circ $ and the angle of elevation of the top of the tower from the foot of the building is $60^\circ $. If the tower is $50 \ m$ high, find the height of the building.
View full solution →A statue, $1.6 \ m$ tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is $60^\circ$ and from the same point the angle of elevation of the top of the pedestal is $45^\circ$. Find the height of the pedestal.
View full solution →From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a $20 \ m$ high building are $45^{\circ}$ and $60^{\circ}$ respectively. Find the height of the tower
View full solution →A $1.5 \ m$ tall boy is standing at some distance from a $30 \ m$ tall building. The angle of elevation from his eyes to the top of the building increases from$ 30^\circ $ to $60^\circ $ as he walks towards the building. Find the distance he walked towards the building.
View full solution →A kite is flying at a height of $60 \ m$ above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is $60^\circ$. Find the length of the string, assuming that there is no slack in the string.
View full solution →The angle of elevation of the top of a building from the foot of the tower is $30^\circ$ and the angle of elevation of the top of the tower from the foot of the building is $60^\circ $. If the tower is $50 \ m$ high, find the height of the building.
View full solution →A statue, $1.6 \ m$ tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is $60^\circ$ and from the same point the angle of elevation of the top of the pedestal is $45^\circ.$ Find the height of the pedestal.
View full solution →A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the further time taken by the car to reach the foot of the tower from this point.
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