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Calculate the area of triangle QRT, given QR = 830 m, QT = 370 m, and angle QTR = 51.2 degrees.

Mathematics

ScanSolve AI Answer

Here's a step-by-step solution to the problem.

First, we will use the values explicitly shown in the diagram, as there are inconsistencies between the text description and the diagram.
From the diagram:
QR=830 mQR = 830 \, \text{m}
QT=370 mQT = 370 \, \text{m}
TS=720 mTS = 720 \, \text{m}
RS=750 mRS = 750 \, \text{m}
∠QTR=51.2∘\angle QTR = 51.2^\circ
∠TSR=43.5∘\angle TSR = 43.5^\circ

a) Calculate the area of triangle QRT correct to 1 dp.

Step 1: Find ∠QRT\angle QRT using the Sine Rule in $\triangle

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