Solve for X and round the nearest tenth, first make equation of cosine angle and then divide both side by 16. Value of x is 7.3 units.
What is right angle triangle property?
In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
[tex]\cos\theta=\dfrac{a}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.
Given information-
The given triangle is the right angle triangle.
The hypotenuse side of the right angle triangle is 16 units.
The base of the right angle triangle is X units.
The image of the problem attached below to understand it better.
As the hypotenuse side and the adjacent side of the right angle triangle is given.
It is known that the ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
Thus to solve the given problem for X,(round to the nearest tenth) follow the steps below,
Write down the equation for cosine angle in terms of adjacent side and hypotenuse side as-
Multiply both side by 16 as,
[tex]\dfrac{x}{16}\times16=\cos(63)\times16\\[/tex]
[tex]x=\cos(63)\times16\\\\x\cong7.3[/tex]
Thus to solve for X and round the nearest tenth, first make equation of cosine angle and then divide both side by 16. Value of x is 7.3 units.
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
