The angle between the ground at the top of a flag pole is 25o when the observer is at point A. The observer walks 10 m directly
towards the flag pole to point B and the angle is now 40o. What is the height of the flag pole assume the observers eyes are 2 m above the ground?
1 answer:
Answer:
12.4967 m
≈ 12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
= 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅ = BC/AB
Sin 25° = BC/ 24.8372
BC = 24.8372 Sin 25°
= 10.4967 m
The height of the pole = BC + 2.0
= 10.4967 + 2.0
= 12.4967
≈ 12.5 m
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Answer:
Urban area = 58.27%
Suburban area = 34.83%
Rural area = 6.9%
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Total number of women = 290
Number of women in urban area = 169
Suburban area women = 101
Rural are women = 20
So, we can calculate the percentage of number of women from each area by using following formula,
Percentage = Women in specific area ÷ total women
So, percentage of Urban area = 169 ÷ 290 = 0.5827 or 58.27%
percentage of suburban area = 101 ÷ 290 = 0.3483 or 34.83%
percentage of rural area = 20 ÷ 290 = 0.0690 or 6.9%
Pie chart for the given information is attached below.
