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find t. 2√3 ft 60° 30° write your answer in simplest radical form. feet

Question

find t.
2√3 ft
60°
30°
write your answer in simplest radical form.
feet

Explanation:

Step1: Use tangent of 60°

$\tan(60^\circ) = \frac{t}{2\sqrt{3}}$

Step2: Substitute $\tan(60^\circ)=\sqrt{3}$

$\sqrt{3} = \frac{t}{2\sqrt{3}}$

Step3: Solve for t

$t = \sqrt{3} \times 2\sqrt{3} = 2 \times 3 = 6$

Answer:

6 feet