Question

iangle is a right triangle.) For the triangle shown in the figure below what are each of the following? (Let y 32.0 m and r -40.0 m. Assume the t (a) the length of the unknown side x 24 b) the tangent of Apply the expressions for tangent of a base angle in a right triangle as a ratio of the sides of the triangle (c) the sin of ssions for the sine of a base angle in a right triangle as a ratio of th

Answer 1

a) for the unknown side x

as r^2 = x^2 + y^2

40^2 = 32^2 + x^2

x = 24 m

the unknown side is 24 m

b) tangent of theta = y/x

tangent of theta = 32/24

tangent of theta = 4/3

c) sin of phi = x/r

sin of phi = 24/40

sin of phi = 0.60