IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 872  876 of 968
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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. 


Question number: 876
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. 


b.  76.96m 

c. 


d.  44.96m 
