Name: 
 

Lesson 5 - Solving Problems Involving Similar Shapes



 1. 

John would like to determine the height of a maple tree. He is 1.5 m tall and his shadow is 4.0 m long. The shadow of the tree at the same time of day is 80.0 m long.
Which ratio could use to determine the height of the tree?


mc001-1.jpg   mc001-2.jpg
a.
mc001-3.jpg
b.
mc001-4.jpg
c.
mc001-5.jpg
 

 2. 

Use your answer to question 1 to determine the height of the tree.
a.
213 m
b.
50 m
c.
30 m
 

 3. 

Marta is standing beside a lighthouse on a sunny day. Marta is 1.6 m tall. How tall is the lighthouse?

mc003-1.jpg
a.
25 m
b.
50 m
c.
20 m
d.
45 m
 

 4. 

On a sunny day, Richard is visiting the CN Tower in Toronto. Richard is 1.86 m tall and casts a shadow that is 4.0 m long. At the same time, the CN Tower casts a shadow that is 1190 m long. How tall is the CN Tower?
    mc004-1.jpg
a.
500 m
b.
565.75 m
c.
550.40 m
d.
553.35 m
 

 5. 

A tree 30 m tall casts a shadow that is 50 m in length. How tall is a nearby street post that casts a shadow at the same time of day that is 8 m in length?

        mc005-1.jpg
a.
3.8 m
b.
4.8 m
c.
5.4 m
d.
4.2 m
 

 6. 

Braedon is 1.85 m tall and cast a shadow that is 0.60 m long. At the same time, a nearby radio tower casts a shadow that is 9.00 m long. How tall is the radio tower?

                           mc006-1.jpg
a.
25.52 m
b.
31.25 m
c.
27.75 m
d.
22.50 m
 

 7. 

mc007-1.jpg is similar to mc007-2.jpg. Which ratio would you use to determine the length of CD?
                mc007-3.jpg
a.
mc007-4.jpg
b.
mc007-5.jpg
c.
mc007-6.jpg
 

 8. 

Use your answer to question 7 to determine the length of CD.
a.
3.3 cm
b.
7.5 cm
c.
4.8 cm
 

 9. 

A surveyor uses this diagram and similar triangles to determine the distance across a bay. Which ratio would you use to determine the length of AB?

                mc009-1.jpg
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
 

 10. 

Use your answer to question 9 to determine the distance across the bay.
a.
36.0 m
b.
9.0 m
c.
25.0 m
 



 
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