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

The correct option is b.

Explanation:

The area of a rectangle is

`A=length* width`

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

`48=length* 6`

Divide both sides by 6.

`8=length`

The length of the rectangle is 8.

In a right angled triangle,

`\tan\theta=(perpendicular)/(base)`

In triangle JKL,

`\tan (\angle KLJ)=(JK)/(KL)`

Opposite sides of a rectangle are same.

`\angle KLJ=\tan^(-1)((6)/(8))`

`\angle KLJ\approx 36.87`

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