Question

Find the value of the length a x rounded to 1 DP. The diagram is not drawn accurately

Answer 1

Answer:

x ≈ 3.7 m

Step-by-step explanation:

Use the right triangle on the left to find the height h , using the sine ratio

sin39° = $\frac{opposite}{hypotenuse}$ = $\frac{h}{7}$ ( multiply both sides by 7 )

7 × sin39° = h , then

h = 4.4

Using the tangent ration on the right side right triangle, then

tan50° = $\frac{opposite}{adjacent}$ = $\frac{h}{x}$ = $\frac{4.4}{x}$ ( multiply both sides by x )

x × tan50° = 4.4 ( divide both sides by tan50° )

x = $\frac{4.4}{tan50}$ ≈ 3.7 m ( to 1 dec. place )