What is the Constant in this expression 5x+10?
2 answers:
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Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Answer:
Length of the building = 30 meters
Step-by-step explanation:
Given:
Length of pole = 5 meters
Length of shadow of pole = 3 meters
Length of shadow of the building = 18 meters
To find length of the building.
Solution:
On drawing the figure of the given situation, we get two similar triangles.
Applying proportionality theorem of similar triangles.
Plugging in the given lengths.
Multiplying both sides by 18.
Thus, length of the building = 30 meters
