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Tom [10]
3 years ago
13

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

Mathematics
2 answers:
slava [35]3 years ago
8 0
Hello,

tan KLJ=6/8=3/4
=> mes angle KLJ=36.8698976558...°≈36.87 °
Answer B.
jeka943 years ago
3 0

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.

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