APPLICATION OF TRIGONOMETRY

Front

What is the relationship between the length of a shadow and the angle of elevation of the sun?

Back

As the angle of elevation of the sun increases, the length of the shadow decreases.

Front

If a vertical pole is 4 m high and the angle of elevation of the sun is 60°, what is the length of the shadow?

Back

The length of the shadow is 4/√3 m.

Front

What is the angle of elevation when the ratio of the height of a pole to the length of its shadow is 1:√3?

Back

The angle of elevation is 30°.

Front

In a right triangle, what is the relationship between the lengths of the sides when the two acute angles are equal?

Back

The lengths of the two sides are equal, and the hypotenuse is √2 times the length of each side.

Front

True or False: If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.

Back

FALSE.

Front

What is the formula to calculate the length of the shadow of an object based on its height and the angle of elevation?

Back

Length of shadow = Height of object / tan(angle of elevation).

Front

What is the value of tan(60°)?

Back

tan(60°) = √3.

Front

What is the value of tan(30°)?

Back

tan(30°) = 1/√3.

Front

In trigonometry, what does the term 'angle of elevation' refer to?

Back

The angle formed by the line of sight above the horizontal when looking at an object above the observer.

Front

What is the relationship between the angles and sides in a right triangle?

Back

The side opposite an angle is proportional to the sine of that angle, and the adjacent side is proportional to the cosine.