Angle of Elevation and depression Exam Problem 7 | Waec 2009

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3.3 هزار بار بازدید - 2 سال پیش - A woman looking out from
A woman looking out from the window of a building at a height of 30m, observed that the angle of depression of the top of a flag pole was 44°. If the foot of the pole is 25m from the foot of the building and on the same horizontal ground, find, correct to the nearest whole number, the;
(i) angle of depression of the foot of the pole from the woman;
(ii) height of the flag pole.
(Waec 2009, Theory Past Question)

Trigonometry, is a branch of mathematics,
concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names are sine, cosine, tangent, cotangent, secant, and cosecant.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The angle of depression is just the opposite scenario of the angle of elevation. In this case, the observer is standing at height and the object is kept below the line of sight of the observer. We can define it as if the object is kept below the eye level of the observer, then the angles formed between the horizontal line and the observer's line of sight is called the angle of depression.

Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures.

A common use of mnemonics is to remember facts and relationships in trigonometry. For example, the sine, cosine, and tangent ratios in a right triangle can be remembered by representing them and their corresponding sides as strings of letters. For instance, the mnemonic is SOH-CAH-TOA

Trigonometric Ratios are applicable only for a right-angle triangle. A right-angle triangle is a special triangle in which one angle is 90° and the other two are less than 90°.

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2 سال پیش در تاریخ 1401/09/30 منتشر شده است.
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