Mathematics
01.12.2022 04:33
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Please help me I don t understand also explain​

Please help me I don't understand also explain​
Please help me I don't understand also explain​
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nicole667
nicole667
4,7(68 marks)

The altitude is 4.1

The area of triangle DEF is 32.8

Step-by-step explanation:

An altitude drawn from angle F to the opposite side of the triangle will intercept length DE.

let the altitude = h

Apply trig-ratio to determine the value of the altitude "h";

sin (55) = \frac{h}{FE} \\\\sin (55) = \frac{h}{5} \\\\h = 5 \times sin(55)\\\\h = 5(0.8192)\\\\h = 4.096

The area of ΔDEF using the value of the altitude is calculated as;

A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 16 \times 4.096\\\\A = 32.768 \ sq.unit\\\\A \approx 32.8 \ sq.unit

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