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nataly862011 [7]
2 years ago
5

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

Mathematics
1 answer:
son4ous [18]2 years ago
8 0

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 )

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