Question

!!URGENTE!!
1- Encontre o valor para as incógnitas:

Preciso com cálculos
Quem me ajudar respondendo irei marcar como melhor resposta
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Answer 1

Explicação passo-a-passo:

• $\sf sen~60^{\circ}=\dfrac{15}{a}$

$\sf \dfrac{\sqrt{3}}{2}=\dfrac{15}{a}$

$\sf \sqrt{3}\cdot a=2\cdot15$

$\sf \sqrt{3}\cdot a=30$

$\sf a=\dfrac{30}{\sqrt{3}}$

$\sf a=\dfrac{30}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}$

$\sf a=\dfrac{30\sqrt{3}}{3}$

$\boxed{\sf a=10\sqrt{3}}$

• $\sf tg~60^{\circ}=\dfrac{15}{b}$

$\sf \sqrt{3}=\dfrac{15}{b}$

$\sf \sqrt{3}\cdot b=15$

$\sf b=\dfrac{15}{\sqrt{3}}$

$\sf b=\dfrac{15}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}$

$\sf b=\dfrac{15\sqrt{3}}{3}$

$\boxed{\sf b=5\sqrt{3}}$

• $\sf sen~30^{\circ}=\dfrac{15}{c}$

$\sf \dfrac{1}{2}=\dfrac{15}{c}$

$\sf c=2\cdot15$

$\boxed{\sf c=30}$

• $\sf tg~30^{\circ}=\dfrac{15}{d}$

$\sf \dfrac{\sqrt{3}}{3}=\dfrac{15}{d}$

$\sf \sqrt{3}\cdot d=3\cdot15$

$\sf \sqrt{3}\cdot d=45$

$\sf d=\dfrac{45}{\sqrt{3}}$

$\sf d=\dfrac{45}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}$

$\sf d=\dfrac{45\sqrt{3}}{3}$

$\boxed{\sf d=15\sqrt{3}}$