MATH SOLVE

3 months ago

Q:
# A park ranger is shining a spotlight to try to count wildlife at night. Shestarts with a beam that has an angle of 45°. She then increases the angleof the beam to 60°.Which statement most accurately describes the relationship betweensegments of the triangles formed by the beam?

Accepted Solution

A:

Answer:The statement most accurately describes the relationship betweensegments of the triangles formed by the beam is AC < DFStep-by-step explanation:* Lets study the figure to answer the problem- There are two triangles ABC and DEF- AB = BC- DE = EF- AB = DE∴ AB = BC = DE = EF- m∠ABC = 45°- m∠DEF = 60°∵ The measure of angle ABC is smaller than the measure of angle DEF∴ The opposite side to the angle ABC is shorter than the opposite side of angle DEF∵ AC is the opposite side to angle ABC∵ DF is the opposite side to angle DEF∴ AC is shorter than DF∴ DF > AC∴ AC < DF* The statement most accurately describes the relationship between segments of the triangles formed by the beam is AC < DF