Answer:
1. 35 km
2. 1 cm to 5m
3. 6 cm
4.
5. 16.73 m
Step-by-step explanation:
Solution 1.
Reading of map scale = 1cm:5km
i.e. 1 cm is equivalent to 5 km
Measurement of map = 7 cm
Actual distance = Measurement of map
Actual distance = 7 = <em>35 km</em>
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Solution 2.
Length of dining hall = 35 m
Measurement of map = 7 cm
Scale = Measurement of map : Length of dining hall (i.e. ratio)
Scale = 7 cm :35 m = <em>1 cm : 5 m</em>
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Solution 3.
Length of building = 30 m
Scale = 1 cm to 5m
5 m is equivalent to 1 cm on scale
1 m is equivalent to cm on scale
30m is equivalent to = <em>6 cm</em> on scale
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Solution 4.
Angle of elevation of A from B =
Angle of depression of B from A = ?
Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.
Angle of depression of B from A =
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Solution 5.
Given that:
String length, or hypotenuse of triangle BC= 25 m
Angle of string with horizontal,
Please refer to the attached image for the clear understanding of the situation.
To find:
Height, AC = ?
We can use trigonometric identity:
OR
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So, the answers are:
1. 35 km
2. 1 cm to 5m
3. 6 cm
4.
5. 16.73 m
