EASY
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A surveyor wants to find out the height of a tower. He measures the angles at A as shown in the following figure and finds that tanA=34 and A is 40 m from the base of the tower. If the height of a tower is k m, then find the value of k.

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Important Questions on Trigonometrical Ratios of Some other Angles

MEDIUM
A boy is standing at some distance from a 30 m tall building and his eye level from the ground is 1.5 m. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
MEDIUM
If A is an acute angle of a ABC, right-angled at B, then the value of sinA+cosA is:
EASY
When the length of the shadow of a tree becomes equal to the height of the tree, then the angle of elevation of Sun becomes _____.
HARD
A simple pendulum of length 40 cm subtend 60° at the vertex in one full oscillation. What will be the shortest distance between the initial position and final position of the bob?
MEDIUM

If sin A=34, calculate cos A and cot A.A is an acute angle)

EASY
10 m long ladder AC leans on the wall such that its lower end C remains 8 m away from the base of the wall, then sinC= _____.
EASY

The rod AC of a TV disc antenna is fixed at right angles to the wall AB and a rod CD is supporting the disc as shown in the figure. If AC=1.5 m long and CD=3 m, find tan θ.

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MEDIUM

For acute angle θbsinθ=acosθ

asinθ-bcosθasinθ+bcosθ=_____

EASY
In ABC, right-angled at B, AB=24 cm, BC=7 cm. The value of sin A is:
MEDIUM
In OPQ right-angled at P, OP=7 cm and OQ-PQ=1 cm. Find the values of sin Q and cosQ.
MEDIUM

If secA=1312, calculate sinA and cotA(A is an acute angle.)