1 Determine the length of the unknown sides for each of the right-angled triangles below: 9 cm y 61.2° 10.2 34°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Uhtil you decide that your
partner is directly between yourself and landmark
A. Mark this point F.
4 Measure the lengths of [DB], [DC] and [FCJ.
5 Calculate the length of [AB] from
DB
AB
DC
FC
Choose two different points for C and D, and repeat steps 3 to 5, this time swappi
Did you get the same result for the distance between A and B when you chose
D? Think of some sources of error in this experiment that may explain any dife
How could you check whether the person at C indeed walked perpendicularly
6. Now, measure ADB and use trigonometric ratios to find the distance AB. Can
different trigonometric ratios? If so, calculate AB twice. Did you get the same
What might be some sources of error in finding AB using trigonometric ratios
z Compare the values for AB found in parts 5 and 6. Which of the two methods-
more accurate result for the distance AB? Whu?
Could you think of other methods to find the distance AB indirectly?
8 What kind of real-life questions can be answered by using trigonometric ratie
Exercise 1H
1 Determine the length of the unknown sides
for each of the right-angled triangles below:
66.4°
a
21.3
9 cm
2 A ladder [KM
a wall so that
right-angled
61.2°
b.
10.2
34°
K.
Transcribed Image Text:Uhtil you decide that your partner is directly between yourself and landmark A. Mark this point F. 4 Measure the lengths of [DB], [DC] and [FCJ. 5 Calculate the length of [AB] from DB AB DC FC Choose two different points for C and D, and repeat steps 3 to 5, this time swappi Did you get the same result for the distance between A and B when you chose D? Think of some sources of error in this experiment that may explain any dife How could you check whether the person at C indeed walked perpendicularly 6. Now, measure ADB and use trigonometric ratios to find the distance AB. Can different trigonometric ratios? If so, calculate AB twice. Did you get the same What might be some sources of error in finding AB using trigonometric ratios z Compare the values for AB found in parts 5 and 6. Which of the two methods- more accurate result for the distance AB? Whu? Could you think of other methods to find the distance AB indirectly? 8 What kind of real-life questions can be answered by using trigonometric ratie Exercise 1H 1 Determine the length of the unknown sides for each of the right-angled triangles below: 66.4° a 21.3 9 cm 2 A ladder [KM a wall so that right-angled 61.2° b. 10.2 34° K.
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