The measurement of angle A = 52 ° .
In question we need to find angle A ,
To find angle A using Law of Sines :
Law of Sine : ( a / sin A ) = ( b / sin B ) = ( c / sin C ) where a , b and c are the sides opposite to angle A , B and C resp. of a triangle .
Applying Law of Sines ,
25 / sin A = 28 / sin 62
sin A = ( 25 * sin 62 ) / 28
sin A = 0.7883
Therefore , angle A = 52 ° .
Hence , the measurement of angle A = 52 ° .
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Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
24:1200=1:50
7.2:360=1:50
Answer is 1:50