given that the rectangle above has an area of 48 square units, find m angle klj. round the answer to the nearest hundreth.

A18.43 degrees
B36.87 degrees
C41.41 degrees
D48.59 degrees

given that the rectangle above has an area of 48 square units, find m angle klj. round the answer to the nearest hundreth. a. 18.43 degrees b. 36.87 degrees c. class=

Verified Answer :

caylus

Hello,

tan KLJ=6/8=3/4
=> mes angle KLJ=36.8698976558...°≈36.87 °
Answer B.

Answer:

The correct option is b.

Step-by-step explanation:

The area of a rectangle is

\(A=length\times width\)

The area of rectangle is 48 square units and the width of the rectangle is 6 units.

\(48=length\times 6\)

Divide both sides by 6.

\(8=length\)

The length of the rectangle is 8.

In a right angled triangle,

\(\tan\theta=\frac{perpendicular}{base}\)

In triangle JKL,

\(\tan (\angle KLJ)=\frac{JK}{KL}\)

Opposite sides of a rectangle are same.

\(\angle KLJ=\tan^{-1}(\frac{6}{8})\)

\(\angle KLJ\approx 36.87\)

The measure of angle KLJ is 36.87. Therefore the correct option is b.