Geo B - Obj 58 Trigonometry Word Problems

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the line of sight when looking up from a horizontal line to an object above.

Front

How do you calculate the height of a building using the angle of elevation?

Back

Use the formula: height = distance * tan(angle of elevation).

Front

What is the cosine function in relation to right triangles?

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you find the length of a ladder leaning against a wall?

Back

Use the formula: length = distance from wall / cos(angle with ground).

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by the line of sight when looking down from a horizontal line to an object below.

Front

How do you calculate the distance to an object using the angle of depression?

Back

Use the formula: distance = height / tan(angle of depression).

Front

What is the relationship between the height of an object and the length of its shadow?

Back

The height of an object and the length of its shadow can be related using the tangent function: height = shadow length * tan(angle of elevation of the sun).

Front

How do you determine the distance from a point above the ground to an object on the ground?

Back

Use the formula: distance = height / sin(angle of descent).

Front

What is the tangent function in relation to right triangles?

Back

In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the total height of two buildings given the height of one and the angle of elevation to the top of the other?

Back

Add the height of the first building to the height calculated using the angle of elevation and the distance between the buildings.