1.4 Right Triangle Practice

1-3: Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree if necessary. 

1

72°15'

1

23°12'30"

1

13°23'33"

4-6: Convert each angle measure to degrees, minutes, seconds. Round to the nearest whole second if necessary. 

1

125.40°

1

2.485°

1

53.5994°

1

A 45-foot tree casts a 45-foot shadow. Find the angle of elevation from the end of the shadow to the sun.

0

Sketch or upload a picture of your work for number 7

1

From a 100-foot observation tower on the coast, a Coast Guard officer sights a boat in trouble. If the angle of depression to the boat is 42°12’, exactly how far is the boat from the shoreline? Round to the nearest tenths place.

0

Sketch or upload a picture of your work for number 9

1

A six-foot tall person is standing 300 feet from the base of a building. If the angle of elevation from his line of sight to the top of the building is 75º20’30’’, approximately how tall is the building? Round to the nearest foot.

0

Sketch or upload a picture of your work for number 11

1

Two buildings, one short and one tall, are 150 feet apart. From the top of the short building, the angle of elevation to the top of the tall building is 35°24’ and the angle of depression to the bottom of the tall building is 12°15’. What is the height of the tall building? Round to two decimal places.

0

Sketch or upload a picture of your work for number 13

1

A 30-foot ladder leans against a wall and makes a 60º angle with the ground. How far is the base of the ladder from the building? Round to the nearest foot

0

72°15'

23°12'30"

13°23'33"

125.40°

2.485°

53.5994°

A 45-foot tree casts a 45-foot shadow. Find the angle of elevation from the end of the shadow to the sun.

Sketch or upload a picture of your work for number 7

From a 100-foot observation tower on the coast, a Coast Guard officer sights a boat in trouble. If the angle of depression to the boat is 42°12’, exactly how far is the boat from the shoreline? Round to the nearest tenths place.

Sketch or upload a picture of your work for number 9

A six-foot tall person is standing 300 feet from the base of a building. If the angle of elevation from his line of sight to the top of the building is 75º20’30’’, approximately how tall is the building? Round to the nearest foot.

Sketch or upload a picture of your work for number 11

Sketch or upload a picture of your work for number 13

A 30-foot ladder leans against a wall and makes a 60º angle with the ground. How far is the base of the ladder from the building? Round to the nearest foot

Sketch or upload a picture of your work for number 15

72°15'

23°12'30"

13°23'33"

125.40°

2.485°

53.5994°

A 45-foot tree casts a 45-foot shadow. Find the angle of elevation from the end of the shadow to the sun.

Sketch or upload a picture of your work for number 7

From a 100-foot observation tower on the coast, a Coast Guard officer sights a boat in trouble. If the angle of depression to the boat is 42°12’, exactly how far is the boat from the shoreline? Round to the nearest tenths place.

Sketch or upload a picture of your work for number 9

A six-foot tall person is standing 300 feet from the base of a building. If the angle of elevation from his line of sight to the top of the building is 75º20’30’’, approximately how tall is the building? Round to the nearest foot.

Sketch or upload a picture of your work for number 11

Sketch or upload a picture of your work for number 13

A 30-foot ladder leans against a wall and makes a 60º angle with the ground. How far is the base of the ladder from the building? Round to the nearest foot

Sketch or upload a picture of your work for number 15