Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Answer:
1)Area of the Land is 48 square meters
2) Area of flower bed is 28.26 square meter
3)Area of land excluding flower bed is 19.74 square meters
4)cost of planting grass in land excluding flower bed is Rs 118.44
Step-by-step explanation:
Given:
Length of the Rectangular plot = 8m
Width of the rectangular plot = 6m
Radius of the circular flower bed = 3m
1)Area of the Land
Area of the Rectangular plot = Area of the Land
Area of the Land = length x width
Area of the Land = 8*6
Area of the Land = 48 square meters-----------------------------(1)
2. Area of flower bed
Area of flower bed = 4 x area of one quadrant
Area of flower bed = area of the circle
Area of flower bed =
where r is the radius
Now , substituting the values
Area of flower bed =
Area of flower bed = 28.26 square meters-----------------------------(2)
3)Area of land excluding flower bed
Area of land excluding flower bed = Area of the rectangular land - area of flower beds
Area of land excluding flower bed = 48 - 28.26
Area of land excluding flower bed = 19.74 square meters
4)cost of planting grass in land
Cost of planting grass per square meter = 6
Excluding the flower bed we have 19.74 square meters. to plant grass for this 19. 74 square meters, the cost will be
=
= Rs 118.44
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
