Elementary Mathematics || Quiz-20 || CDS

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Question 1

From a particular point on the ground, the angle of elevation of the top of the building is 60 degrees. If the building is 400-meter-high, find the distance from the same point to the foot of the building?

• A267.90 m
• B216.78 m
• C230.94 m
• D210.98 m
• E234.78 m

Question 2

cos² θ + tan θ = 3/2 then find the value of cosec θ.

• A3
• B2
• C√2
• D√3

Question 3

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

• A10
• B15
• C20
• D60

Question 4

What is the simplified value of (sec A + cos A) (sec A – cos A)?

• A2 tan² A
• B2 sin² A
• Csin² A tan² A
• Dsin² A + tan² A

Question 5

What is the simplified value of

• A–1
• B0
• C1
• D2

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