This is hard please help it makes no sense

Mathematics

2 answers:

posledela1 year ago

8 0

We will find the length of DE using trigonometric ratios. And the trigonometric ratio we will use here is

$\sf \tan( \theta) = \frac{opposite}{adjacent}$

Opposite = 17 m
Adjacent = DE
θ = 51°

$\tt \tan(51°) = \frac{17}{x}$

$\tt \tan(51°) \times x = 17$

$\tt \: x = \frac{17}{ \tan(51°) }$

$\tt \: x≈13.766$

$\boxed{ \sf \: x≈13.8 \: (when \: rounded \: off)}$

Thus, Option C is the correct choice!!~

tigry1 [53]1 year ago

3 0

Answer:

lk12

Step-by-step explanation:

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$\rule{130}1$

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$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$