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SCIENCE WORLD This building was constructed for the Expo '86 ...

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88 Chapter 2: Trigonometry<br />

Assess Your Understanding<br />

2.1<br />

1. Determine <strong>the</strong> measure of each indicated angle to <strong>the</strong> nearest degree.<br />

a) b) D<br />

F c)<br />

A<br />

2 cm<br />

B<br />

8 cm<br />

C<br />

4. Determine <strong>the</strong> length of each indicated side to <strong>the</strong> nearest tenth of a<br />

centimetre.<br />

a) b)<br />

6 cm<br />

E<br />

4 cm<br />

2. Why does <strong>the</strong> tangent of an angle increase as <strong>the</strong> angle increases?<br />

3. A small plane is flying at an<br />

altitude of 1000 m and is 5000 m<br />

from <strong>the</strong> beginning of <strong>the</strong><br />

landing strip. What is <strong>the</strong> angle<br />

between <strong>the</strong> ground and <strong>the</strong> line<br />

of sight from an observer at <strong>the</strong><br />

beginning of <strong>the</strong> landing strip?<br />

Give <strong>the</strong> measure to <strong>the</strong> nearest<br />

tenth of a degree.<br />

2.2<br />

K<br />

6.2 cm 61°<br />

N<br />

n<br />

10.8 cm<br />

5. A hiker saw a hoodoo on a cliff<br />

at Willow Creek in Alberta’s<br />

badlands. The hiker <strong>was</strong> 9.1 m<br />

from <strong>the</strong> base of <strong>the</strong> cliff. From<br />

that point, <strong>the</strong> angle between <strong>the</strong><br />

level ground and <strong>the</strong> line of sight<br />

to <strong>the</strong> top of <strong>the</strong> hoodoo <strong>was</strong> 69°.<br />

About how high <strong>was</strong> <strong>the</strong> top of <strong>the</strong><br />

hoodoo above <strong>the</strong> level ground?<br />

M<br />

Q<br />

P<br />

56°<br />

p<br />

R<br />

c)<br />

T<br />

H<br />

27°<br />

16<br />

S<br />

s<br />

20<br />

G<br />

5.3 cm<br />

V<br />

J

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