Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:
Solve for <em>x: </em>
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Use a calculator (make sure you're in Degrees Mode!). Hence:
Our answer is C.
Answer:
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400
Step-by-step explanation:
Given: Lawn is rectangular in shape
Length of lawn is 5 feet more than twice its breath/width
Perimeter of Lawn = 250 feet
To find: (a) Length and width of lawn
(b) Area of Lawn
First let the a variable for width/breadth. Say, Width = b.
So, the length of lawn = 2b + 5
Perimeter of Rectangle = 2 × ( length + width )
Now, substitue given values in this formula
∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )
∴width = 40 feet
⇒ length = 85 feet
Now we find are of lawn using formula of area of rectangle
Area of lawn = length × width
= 85 × 40
= 3400
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400