Question 11 Mark
Find the length of the shadow on the ground of a pole of height 18 m when angle of elevation $\theta$ of the sun is such that $\tan \theta=\frac{6}{7}$.
Answer
View full question & answer→21 m
Questions
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Question 21 Mark
The length of the shadow of a tower on the plane ground is $\sqrt{3}$ times the height of the tower. Find the angle of elevation of the sun.
Answer
View full question & answer→$30^{\circ}$
Question 31 Mark
The ratio of the length of a vertical rod and the length of its shadow is $1: \sqrt{3}$. What is the angle of elevation of the sun at that moment?
Answer
View full question & answer→$30^{\circ}$
Question 41 Mark
An observer, 1.5 m tall, is 28.5 m away from a 30 m high tower. Determine the angle of elevation of the top of the tower from the eye of the observer.
Answer
View full question & answer→$45^{\circ}$
Question 51 Mark
If the ratio of the height of a tower and the length of its shadow is $\sqrt{3}: 1$ what is the angle of elevation of the Sun?
Answer
View full question & answer→$60^{\circ}$
Question 61 Mark
An observer, 1.7 m tall, is $20 \sqrt{3} m$ away from a tower. The angle of elevation from the eye of an observer to the top of tower is $30^{\circ}$. Find the height of the tower.
Answer
View full question & answer→21.7 m
Question 71 Mark
AB is a pole of height 6 m standing at a point B and CD is a ladder inclined at angle of $60^{\circ}$ to the horizontal and reaches upto a point D of pole. If AD = 2.54 m, find the length of the ladder. (Use $\sqrt{3}=1.73$ )
Answer
View full question & answer→4 m
Question 81 Mark
The angle of elevation of the top of a tower at a point on the ground is $30^{\circ}$. What will be the angle of elevation, if the height of the tower is tripled?
Answer
View full question & answer→$60^{\circ}$
Question 91 Mark
The tops of two towers of height x and y, standing on level ground, subtend angles of $30^{\circ}$ and $60^{\circ}$ 60 deg respectively at the centre of the line joining their feet, then find $x: y$.
Answer
View full question & answer→$1: 3$
Question 101 Mark
In Fig. what are the angles of depression from the observing positions $O_1$ and $O_2$ of the object at $A$ ?
Answer
View full question & answer→$30^{\circ}, 45^{\circ}$
Question 111 Mark
If the angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary, find the height of the tower.
Answer
View full question & answer→6 m
Question 121 Mark
From a point on the ground, 20 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is $60^{\circ}$ what is the height of the tower?
Answer
View full question & answer→$20 \sqrt{3}$ m
Question 131 Mark
What is the angle of elevation of the Sun when the length of the shadow of a vertical pole is equal to its height?
Answer
View full question & answer→$45^{\circ}$
Question 141 Mark
The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is $45^{\circ}$?
Answer
View full question & answer→10 m