Question

Show me how to do this please for geometry!!

Answer 1

Answer:

see explanation

Step-by-step explanation:

Since the triangles are right use trigonometric ratios to find x and y

A

sin33° = $\frac{adjacent}{hypotenuse}$ = $\frac{2.5}x}$

Multiply both sides by x

x × sin33° = 2.5 ( divide both sides by sin33° )

x = $\frac{2.5}{sin33}$ ≈ 4.590

tan33° = $\frac{opposite}{adjacent}$ = $\frac{2.5}{y}$

Multiply both sides by y

y × tan33° = 2.5 ( divide both sides by tan33° )

y = $\frac{2.5}{tan33}$ ≈ 3.850

B

cos72° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{x}$

Multiply both sides by x

x × cos72° = 6 ( divide both sides by cos72° )

x = $\frac{6}{cos72}$ ≈ 19.416

tan72° = $\frac{y}{6}$

Multiply both sides by 6

6 × tan72° = y, thus

y ≈ 18.466