Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet
1 answer:
Answer:
- a) Plots are similar
- b) x= 5577 feet
Step-by-step explanation:
<em>Refer to attached</em>
<h3>Question</h3>- a) Are the plots of land similar?
- b) Find to the exact value of x and rounded to the nearest tenth?
The small triangle have missing angle of 180° - (52° + 58°) = 70°
This is indicating both triangles have same 3 angle measures.
Since all angles are same, the triangles are similar.
<u>Corresponding sides, against corresponding angles are:</u>
- 6180 and 8240
- x and 7436
<u>As per property of similarity, the ratio of corresponding sides is same</u>
- 6180/8240 = x/7436
- x = 6180*7436/8240
- x = 5577 feet
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Answer:
Length = 3.84 feets (nearest hundredth)
Step-by-step explanation:
The length of section of wire can be obtyaiejd using the length of of a arc formular :
Length of arc = θ/360° * 2πr
Radius, r = 2.5 feets
Length of arc = (88/360) *2πr
Length of arc = (88/360) * 2π*2.5
Length of arc = 0.244444 * 15.707963
Length of arc = 3.8397
Length = 3.84 feets (nearest hundredth)
