Math 11AW Unit 3: Right Triangles



Math 11AW Unit 3: Right Triangles. Name: _________________ Date: _____________ Block: ______

Lesson Notes 3.5: Solving Right Triangle Word Problems.

Example 1) Calculate the perimeter of the triangle below.

Example 2) Stella is calculating the height of a Douglas fir tree that she can see from her campsite. From her tent, she measures the angle of elevation to the top of the tree to be 23°. She then walks 55 m closer to the tree and measures the angle of elevation to be 34°.

a) Draw a diagram showing the situation.

b) How far from the tree did Stella take her first measurement?

c) What is the height of the tree?

Example 3) A garden is cordoned into three sections, as shown in the diagram. What is the perimeter of the garden?

Example 4) Solve for x.

Example 5) A billboard is mounted high on the side of a building. At a distance of 210 ft from the building (distance b), the angle of elevation to the bottom of the billboard is 50° (angle θ), and the angle of elevation to the top of the billboard is 5° more.

How tall is the billboard (x)?

Example 6) The sail of a sailboat is made out of two triangles of fabric. What area of fabric is needed to make the sail?

Math 11AW Unit 3: Right Triangles. Name: _________________ Date: _____________ Block: ______

Assignment 3.5: Solving Right Triangle Word Problems.

1) Calculate the perimeter of the triangle below.

[pic]

2) Stella is calculating the height of a Douglas fir tree that she can see from her campsite. From her tent, she measures the angle of elevation to the top of the tree to be 20°. She then walks 35 m closer to the tree and measures the angle of elevation to be 38°.

a) Draw a diagram showing the situation.

b) How far from the tree did Stella take her first measurement?

c) What is the height of the tree?

3) A garden is cordoned into three sections, as shown in the diagram. What is the perimeter of the garden?

4) Solve for x.

5) A billboard is mounted high on the side of a building. At a distance of 150 m from the building (distance b), the angle of elevation to the bottom of the billboard is 42° (angle θ), and the angle of elevation to the top of the billboard is 5° more.

How tall is the billboard (x)?

6) The sail of a sailboat is made out of two triangles of fabric. What area of fabric is needed to make the sail?

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download