Diagonals 5113

The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond.

Correct answer:

X =  30.9638 °

Step-by-step explanation:

$$\begin{gathered} u_1=10\text{cm} \\ {u}_2=6\text{cm} \\ a=u_1/2=10/2=5\text{cm} \\ b=u_2/2=6/2=3\text{cm} \\ x=\arctan (b/a)=\arctan (3/5)\doteq 0.5404 \\ X=x\to \text{°}=x\cdot \frac{180}{\pi }\text{°}=0.5404\cdot \frac{180}{\pi }\text{°}=30.964\text{°}=30.9638^{\circ }=30°57^{\prime }50" \end{gathered}$$

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