# Lesson 9 Finding the Value of a Relationship Solidify Understanding

For each story presented, sketch a picture of the situation and label as much of the picture as possible.

### 1.

Jill put a ladder up against the house to try to reach a light that is out and needs to be changed. She knows the ladder is

### 2.

Francis is flying an airplane at an altitude of

### 3.

Abby is standing at the top of a very tall skyscraper and looking through a telescope at the scenery all around her. The angle of decline on the telescope says

For problems 4–7, use the sketches you made in problems 1–3, or make new sketches, to help you find the missing values.

### 4.

Jill put a ladder up against the house to try to reach a light that is out and needs to be changed. She knows the ladder is

### 5.

Francis is flying an airplane at an altitude of

### 6.

Abby is standing at the top of a very tall skyscraper and looking through a telescope at the scenery all around her. The angle of decline on the telescope says

### 7.

A

Use the given right triangle to identify the trigonometric ratios and angles.

### 8.

### 9.

### 10.

### 11.

Place a point on

### 12.

Draw a segment on the grid and place a point on the segment to split it into two segments with lengths that have a ratio of