Lesson 29

L29
Use trigonometric ratios to solve problems.

Read the problem. What are you trying to figure out?
Draw a diagram. Draw a right triangle and label it with information.
Determine which trig ratio will solve the problem.

​Draw
the right triangle.
Label for the problem.

Read the problem. What are you trying to figure out?
Draw a diagram. Draw a right triangle and label it with information.
Determine which trig ratio will solve the problem.

A wooden beam 6 meters long leans against a wall and makes an angle of 71^o with the ground. How high up the wall does the beam reach? Give your answer to the nearest meter.

Read the problem. What are you trying to figure out?
Draw a diagram. Draw a right triangle and label it with information.
Determine which trig ratio will solve the problem.

​Mark is flying a kite and realizes 300 feet of string are out.
The angle of the string with the ground is 42.5^∘.
How high is Mark's kite above the ground?

Read the problem. What are you trying to figure out?
Draw a diagram. Draw a right triangle and label it with information.
Determine which trig ratio will solve the problem.

​Sam measures a 50^∘ angle to the top of a building when standing 100 feet from its base. If his eyes are 6 feet above the ground, how tall is the building?

Read the problem. What are you trying to figure out?
Draw a diagram. Draw a right triangle and label it with information.
Determine which trig ratio will solve the problem.

​A straight road to the top of a hill is 2500 meters long and makes an angle of 12^o with the horizontal. Find the height of the hill. Give your answer to the nearest hundred meters,

Labelling

Diego has a 10-foot ladder.

He places it against a wall

so it forms a 60-degree with the ground.

Drag labels to their correct position on the image

ground

ladder

wall

Labelling

A zip wire runs between two posts, 25m apart.

The zip wire is at an angle of 10^∘ to the horizontal. Calculate the length of the zip wire.

Drag labels to their correct position on the image

post

wire

ground

Labelling

A surveyor wants to know the height of a skyscraper. He places his clinometer on a tripod 1m from the ground. At a distance of 50m from the skyscraper, he records an angle of elevation of 82^∘.

Drag labels to their correct position on the image

ground

skyscraper

sight line

Labelling

A flag pole is 20 feet tall. The sun's angle with the ground is 50 degrees, how long is the pole's shadow

Drag labels to their correct position on the image

flag pole

sunbeam

shadow

Labelling

A mountain has a 35-degree slope, and you must hike a 7-mile trail to reach the summit. How tall is the mountain?

Drag labels to their correct position on the image

ground

trail

height to summit