IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 883  887 of 968
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Question number: 883
Question
The angle of elevation of a cloud from a point h meters above a lake is . The angle of depression of its reflection in the lake is The height of the cloud is________.
Choices
Choice (4)  Response  

a.  hcot (30° θ)  
b. 
 
c.  htan (30° θ)  
d. 

Question number: 884
Question
The top of two poles of height and are connected by a wire. If the wire makes an angle of with horizontal, then the length of the wire is________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 885
Question
Two persons are ‘b’ meters apart and height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person in meter is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 886
Question
The top of a broken tree has its top end touching the ground at a distance 4m from the bottom, the angle made by the broken end with the ground is Then length of broken part is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 887
Question
The angles of depression of two ships from the top of a lighthouse are towards east. If the ship are 20m apart, the height of the lighthouse is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
