Respuesta :

Answer:

x = 206.7

Step-by-step explanation:

law of sines:

sin 90° / x = sin 43° / 141

sin 43° · x = 141

x = 141 / sin 43°

The measure of the length of the hypotenuse is 206.75 and the measure of the length of the base is 151.20 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The perpendicular is 141 and the angle opposite to the perpendicular is 43 degrees. Then the value of the base and hypotenuse will be

The length of the base will be

[tex]\rm \dfrac{141}{y} = \tan 43^o\\\\y\ \ \ = \dfrac{141}{ \tan 43^o}\\\\y \ \ \ = 151.20[/tex]

Then the length of the hypotenuse will be

[tex]\rm x = \dfrac{141}{\sin 43^o}\\\\x = 206.75[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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