Question

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. 41.41 degrees
d. 48.59 degrees

Answer 1

Hello,

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

Answer 2

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.