Angle of Elevation and Depression notes | Lecture notes Trigonometry

Unit # 5 – Right Triangle Trigonometry: Angle of Elevation/Depression

– angle of elevation → an angle between a ________________

and a line of sight where the angle is ______ the horizontal line.

– angle of depression → an angle between a _______________

and a line of sight where the angle is _____ the horizontal line.

Couple of Things to Notice:

1.) The two horizontal lines are _______________ to each other

and the angle of elevation and depression are _____________.

Angles that do this are called __________________________.

2.) If you draw in a ___________ , then a ___________ is formed.

Example 1: Describe each angle as it relates to the situation shown.

Angle 1: _________________________

_________________________

Angle 2: _________________________

_________________________

Angle 3: _________________________

_________________________

Angle 4: _________________________

_________________________

Example 2: Label each diagram and then complete each word problem. Round to tenth place.

a.) A palm tree casts a shadow of 18 feet long.

The angle of elevation of the sun is 25.7°.

Find the height of the palm tree.

b.)

A sign on a roadway at bottom of a mountain road

indicates that the road will incline 10.5° with the

ground. The altitude for a car ascending up the

mountain road is 3,850 ft. Find the length of the

mountain road in miles.

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Unit # 5 – Right Triangle Trigonometry: Angle of Elevation/Depression

- angle of elevation → an angle between a ________________

and a line of sight where the angle is ______ the horizontal line.

- angle of depression → an angle between a _______________

and a line of sight where the angle is _____ the horizontal line.

Couple of Things to Notice:

1.) The two horizontal lines are _______________ to each other

and the angle of elevation and depression are _____________.

Angles that do this are called __________________________.

2.) If you draw in a _ , then a _ is formed.

Example 1: Describe each angle as it relates to the situation shown.

Angle 1: _________________________

_________________________

Angle 2: _________________________

_________________________

Angle 3: _________________________

_________________________

Angle 4: _________________________

_________________________

Example 2: Label each diagram and then complete each word problem. Round to tenth place.

a.) A palm tree casts a shadow of 18 feet long. The angle of elevation of the sun is 25.7°. Find the height of the palm tree.

b.) A sign on a roadway at bottom of a mountain road

indicates that the road will incline 10.5° with the ground. The altitude for a car ascending up the mountain road is 3,850 ft. Find the length of the mountain road in miles.

c.) The sonar of a navy cruiser detects a submarine that is 4000 feet from the cruiser. The angle between the water line and the submarine is 34°. How deep is the submarine?

d.) A 20-ft ladder leans against a house and the base of the ladder is 5 feet from the base of the house. What is the angle formed by the ladder and the ground?

e.) From a point on the ground 500 feet from the base of the building, it is observed that the angle of elevation to the top of the building is 24° and the angle of elevation to the top of the flagpole atop of the building is 27°. Find the height of the flagpole.

f.) A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time. Find the height of the shuttle.

Example 3: Draw a diagram and then complete each word problem. Round to tenth place.

a.) A skateboard ramp at a park has an inclination of 54° and its base is 12 feet long. What is the length of the ramp?

b.) You are 200 yards from a river. Rather than walking directly to the river, you walk 400 yards along a straight path to the river’s edge. What is the angle between this path and the river’s edge?

c.) A water tower is located 325 feet from a building. From a window in the building it is observed that the angle of elevation to the top of the tower is 39° and the angle of depression to the bottom of the tower is 25°. How tall is the tower?

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Angle of Elevation and Depression notes, Lecture notes of Trigonometry

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Partial preview of the text

Download Angle of Elevation and Depression notes and more Lecture notes Trigonometry in PDF only on Docsity!

Unit # 5 – Right Triangle Trigonometry: Angle of Elevation/Depression

and a line of sight where the angle is ______ the horizontal line.

and a line of sight where the angle is _____ the horizontal line.

Couple of Things to Notice:

1.) The two horizontal lines are _______________ to each other

and the angle of elevation and depression are _____________.

Angles that do this are called __________________________.

2.) If you draw in a _ , then a _ is formed.

Example 1: Describe each angle as it relates to the situation shown.

Angle 1: _________________________

_________________________

Angle 2: _________________________

_________________________

Angle 3: _________________________

_________________________

Angle 4: _________________________

_________________________

Example 2: Label each diagram and then complete each word problem. Round to tenth place.

b.) A sign on a roadway at bottom of a mountain road

Example 3: Draw a diagram and then complete each word problem. Round to tenth place.