Question

question 7 (1 point)
determine the length of the hypotenuse of the triangle to the nearest tenth of a
metre.

a) 2.4 m
b) 3.1 m
c) 2.1 m
d) 2.9 m

Explanation:

Step1: Use sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\theta = 55^{\circ}\), the opposite side \(a = 2.0\) m and the hypotenuse is \(h\). So, \(\sin55^{\circ}=\frac{2.0}{h}\).

Step2: Solve for \(h\)

Rearrange the formula to \(h=\frac{2.0}{\sin55^{\circ}}\). Since \(\sin55^{\circ}\approx0.8192\), then \(h=\frac{2.0}{0.8192}\approx2.4\) m.

Answer:

A. \(2.4\) m