IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 871  875 of 968
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Question number: 871
Question
The length of a string between a kite and a point on the ground is . If the string makes an angle with level ground such that how high is the kite?
Choices
Choice (4)  Response  

a.  44.96m  
b. 
 
c. 
 
d.  76.96m 
Question number: 872
Question
The angles of depression of two ships from the top of a lighthouse are towards east. If the ship are 50m apart, the height of the lighthouse is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 873
Question
The angle of elevation of a cloud from a point above a lake is and the angle of depression of its image in lake is The height of the cloud is________.
Choices
Choice (4)  Response  

a.  40m  
b.  100m  
c.  50m  
d.  80m 
Question number: 874
Question
The angle of elevation of a cloud from a point above a lake is and the angle of depression of its image in lake is The height of the cloud is________.
Choices
Choice (4)  Response  

a.  50m  
b.  40m  
c.  70m  
d.  80m 
Question number: 875
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 (60° θ)  
b.  hcot (60°+θ)  
c.  htan (60°θ)  
d. 
