Question 1 :
A ladder 14 m long rests against a wall. If the foot of the ladder is 7 m from the wall, then the angle of elevation is<br/>

Question 2 :
If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is<br/>

Question 3 :
{tex}{ cot }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta } {/tex} is equal to<br/>

Question 4 :
{tex}\frac { { tan }^{ 2 }\theta }{ 1+{ tan }^{ 2 }\theta } {/tex} is equal to<br/>

Question 5 :
(cos θ + sin θ)² + (cos θ – sin θ)² is equal to<br/>

Question 6 :
{tex}\frac { { 1+tan }^{ 2 }A }{ { 1+cot }^{ 2 }A } {/tex} is equal to<br/>

Question 7 :
The value of cos 65° sin 25° + sin 65° cos 25° is<br/>

Question 8 :
The value of {tex}\frac { sin({ 90 }^{ O }-\theta )sin\theta }{ tan\theta } -1 {/tex} is<br/>

Question 9 :
(sec² θ – 1) (1 – cosec² θ) is equal to<br/>

Question 10 :
If the angle of depression of an object from a 75 m high tower is 30°, then the distance of the object from the tower is<br/>

Question 12 :
The top of a broken tree has its top touching the ground (shown in the given figure) at a distance of 10 m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is<br/> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef41b59ce7dae068a37f4a3' class="uploaded-image" />