Question

Find the value of x. A triangle has a first side of length 3 that falls from left to right, a second side of length 5 that rises from left to right, and a third side that rises slightly from left to right. A right angle is indicated at the intersection of the first and second sides. The angle between the first and third sides measures x degrees. 3 5 x degrees xequals nothing ​(Do not include the degree symbol in your answer. Round to the nearest degree as​ needed

Answer 1

Answer:

x = 59°

Step-by-step explanation:

See the attached diagram.

The first side of the triangle Δ ABC, i.e. AB of length 3, falls from right, then the second side BC of length 5, roses from left to right and the third side CA rises slightly from left to right.

The angle between AB and BC is 90° and that between AB and AC is x.

So, Δ ABC is a right triangle and hence,

$\tan x = \frac{BC}{AB} = \frac{5}{3}$

⇒ $x = \tan^{- 1} (\frac{5}{3} ) = 59^{\circ}$ (Approximate) (Answer)