Question

1. x 29 67

Explanation:

Step1: Use trigonometric function

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 67^{\circ}$, the hypotenuse is $29$, and the opposite side is $x$.
So, $\sin67^{\circ}=\frac{x}{29}$.

Step2: Solve for $x$

We know that $\sin67^{\circ}\approx0.9205$. Then $x = 29\times\sin67^{\circ}$.
Substitute the value of $\sin67^{\circ}$: $x=29\times0.9205 = 26.6945\approx26.7$.

Answer:

$26.7$