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2 years ago

Solve for x. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

pychu [463]2 years ago

3 0

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

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Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is $x = 274 \ unites$

Step-by-step explanation:

From the question we are told that

The length of the vertical length is $x$

The length of the base leg is L = 330 + d units

The length of the bisecting line segment is h

The base angle is $\theta = 28^o$

The angle between d and line segment is $\theta_1 = 56^o$

For the first angle

$Tan \theta_1 = \frac{x}{d}$

=> $d = \frac{x}{Tan \theta _1}$

For the whole big triangle

$Tan \theta = \frac{x}{330 + d}$

=> $d = \frac{x}{Tan \theta } -330$

So equating the both d

$\frac{x}{Tan \theta _1} = \frac{x}{Tan \theta } -330$

Substitute values

$\frac{x}{Tan (56)} = \frac{x}{Tan (28) } -330$

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