3 years ago

Can someone’s please help

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer:

4.87 ft

Step-by-step explanation:

The height of the skylight =

The height of the blue △ - the height of the red △

Let b ft be the height of the blue △.

sin 60° = $\frac{b}{25}$

b = 25 sin 60°

Let r ft be the height of the red △.

tan 40° = $\frac{r}{20}$

r = 20 tan 40°

The height of the skylight

= 25 sin 60° - 20 tan 40°

= 4.87 ft (rounded to the nearest hundredth)

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