Question

Question 1 when designing a truss, a truss builder might know the base angle measurement and the length of the tie beam needed. the next step is to compute the height of the king post. let's take a look at some right triangles to see whether knowing the measure of an acute angle of a right triangle and the length of one of the sides is enough to find the lengths of the other two sides. you will use geogebra to explore the trigonometric ratios when an acute angle is fixed for a given right triangle. go to trigonometric ratios, and complete each step below. the right triangle represents half of a king post truss. if you need help, follow these instructions for using geogebra. part a what is the measure of ∠bac?

Answer 1

To find the measure of angle BAC in a right triangle, you can use trigonometric ratios such as sine.

Step-by-step explanation:

In a right triangle, the base angle ∠BAC is opposite to the base side AC.

To find the measure of ∠BAC, we can use trigonometric ratios. The sine function relates the length of the opposite side to the length of the hypotenuse:

sin(∠BAC) = opposite / hypotenuse

By rearranging the equation, we can solve for the angle:

∠BAC = sin-1(opposite / hypotenuse)

With the given information about the truss, you can determine the measure of ∠BAC. Good luck with your exploration using Geogebra!