1. A 3 m ladder can be used safely only at an angle of 75° with the horizontal. How high, to the nearest metre, can the ladder reach? 2. A road with an angle of elevation greater than 4.5° is steep for large vehicles. If a road rises 61 m over a horizontal distance of 540 m, is the road steep? Explain. 3. A surveyor has mapped out a property as shown at the left. Determine the length of sides x and y to the nearest metre.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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1. A 3 m ladder can be used safely only at an angle of 75° with the
horizontal. How high, to the nearest metre, can the ladder reach?
2. A road with an angle of elevation greater than 4.5° is steep for large
vehicles. If a road rises 61 m over a horizontal distance of 540 m, is the
road steep? Explain.
3. A surveyor has mapped out a property as shown at the left. Determine
the length of sides x and y to the nearest metre.
Transcribed Image Text:1. A 3 m ladder can be used safely only at an angle of 75° with the horizontal. How high, to the nearest metre, can the ladder reach? 2. A road with an angle of elevation greater than 4.5° is steep for large vehicles. If a road rises 61 m over a horizontal distance of 540 m, is the road steep? Explain. 3. A surveyor has mapped out a property as shown at the left. Determine the length of sides x and y to the nearest metre.
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