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Activity3 Angles of elevation and depression (view source)
Revision as of 14:20, 19 December 2020
, 14:20, 19 December 2020→Objectives
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
1.In the given diagram of a ladder leaning against a wall, which angle represents the ladder’s angle of elevation?<gallery>
1.In the given diagram of a ladder leaning against a wall, which angle represents the ladder’s angle of elevation?
=== Application level ===
=== Application level ===
In real world situations, we often discuss the angle of elevation and depression. The angle of elevation and depression is used often in word problems.The opposite side in this case is usually the height of the observer or height in terms of location, for example, the height of the object. The adjacent is usually the horizontal distance between the object and the observer.
In real world situations, we often discuss the angle of elevation and depression. The angle of elevation and depression is used often in word problems.The opposite side in this case is usually the height of the observer or height in terms of location, for example, the height of the object. The adjacent is usually the horizontal distance between the object and the observer.
Combining your skills with similar triangles, trigonometry and the Pythagorean Theorem, you are ready to tackle problems that are connected to more real world scenarios. The situations you will be examining will be specifically related to right triangles, and you will be Solving for Sides or Solving for Angles by using trigonometric functions.
Combining your skills with similar triangles, trigonometry and the Pythagorean Theorem, you are ready to tackle problems that are connected to more real world scenarios. The situations you will be examining will be specifically related to right triangles, and you will be Solving for Sides or Solving for Angles by using trigonometric functions.
For example: with angles of elevation, if two of the sides of the right triangle are known, then the formula for the angle of depression is given as below:
Tan θ =Opposite Side/Adjacent Side
or
θ = tan-1 (Opposite Side/Adjacent Side)
<u>'''Problem'''</u> - 1.The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower?
<u>'''Problem'''</u> - 1.The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower?
