P-2 Trigonometry Maths - P-2 Trigonometry

Choose the correct alternative answer for the following question.
When we see at a higher level, from the horizontal line,angle formed is.......
A. angle of elevation.
B. angle of depression.
C. 0
D. straight angle.

Prove the following.
(secθ + tanθ) (1 - sinθ) = cosθ

Prove the following.
secθ(1 - sinθ) (secθ + tanθ) = 1

A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied at the ground. It makes an angle of 60° with the ground. Assuming that the string is straight, find the length of the string. (√3 = 1.73 )

A storm broke a tree and the treetop rested 20 m from the base of the tree, making an angle of 60° with the horizontal. Find the height of the tree.

Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre. Find the angle made by the wire with the horizontal.

If tan θ = 2, find the values of other trigonometric ratios.

While landing at an airport, a pilot made an angle of depression of 20°. Average speed of the plane was 200 km/hr. The plane reached the ground after 54 seconds. Find the height at which the plane was when it started landing. (sin 20° = 0.342)

A ladder on the platform of a fire brigade van can be elevated at an angle of 70° to the maximum. The length of the ladder can be extended upto 20m. If the platform is 2m above the ground, find the maximum height from the ground upto which the ladder can reach. (sin 70° = 0.94)

Two buildings are in front of each other on a road of width 15 meters. From the top of the first building, having a height of 12 meter, the angle of elevation of the top of the second building is 30°.What is the height of the second building?

Prove that:
(sec θ – cos θ) (cot θ + tan θ) = tan θ sec θ