# Height and Distance with Explanation

Q1. A ladder of length 19m is resting against a wall. It makes an angle of 60° with the ground. What is the distance of the ladder from the wall?

 A. 6.5 m B. 10 m C. 8.5 m D. 9.5 m

Q2. Gaurav is standing on the bank of river observes that the angle suspended by a tree on the opposite bank is 60°. When he goes 36 m away from the bank, he finds the angle to be 30° . What is the width of the river?

 A. 18 m B. 19 m C. 20 m D. 17 m

Q3. The length of the shadow of a tower is 2 meter, and its height is 2  3 meters. Find the angle of elevation of the Sun?

 A. 45° B. 60° C. 35° D. 40°

Q4. To objects are situated on the same of a building. Observed from the top of the building their angles of depression are 45°, and 60°. Find the distance between the objects, if the height of the building is 150 meter?

 A. 86.7 m B. 89.8 m C. 63.5 m D. 76.9 m

Q5. The top of a tree makes an angle of elevation of 30° with the top of a pillar and 60° with the bottom of a pillar. If the height of the tree is 15 meter, find the height of the pillar?

 A. 6 meter B. 12 meter C. 8 meter D. 10 meter

Q6. Two temples opposite to each other are located on each bank of a river Ganga. One temple is 54 meter height. From the top of this temple the angle of depression of the foot and the top of other temple are 60° and 30° respectively. Find the height of the other temple and the breadth of the river Ganga?

 A. 33.1 meter and 20 meter B. 30 meter and 15 meter C. 31.14 meter and 18 meter D. 35 meter and 22 meter

Q7. A bike is moving at a uniform speed towards an observation tower. It takes 12 minutes for the angle of depression to change from 30° to 45°. After this, how much time will this bike take to reach the observation tower?

 A. 18 min. 5 sec. B. 14 min. 35 sec. C. 15 min. 49 sec. D. 16 min. 23 sec.   