Mathematics, 17.04.2020 02:33 josebrown521

A lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall. how long is his shadow?

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Answer from: Talber1

The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

Step-by-step explanation:

The given is,

A lighthouse is 150 feet tall.

Cast a shadow of 30 feet.

Kyle is 6 feet tall.

Step:1

Ref the attachment,

From triangle ABC,

tan ∅ = $\frac{Opp}{Adj}$ ......................(1)

Where, Opp = AB = 150 feet

Adj = BC = 30 feet

Equation (1) becomes,

tan ∅ = $\frac{150}{30}$

= 5

∅ = $tan^{-1}$ 5

∅ = 78.69°

∅ is same for both ABC and PQR triangle.

From triangle PQR,

tan ∅ = $\frac{Opp}{Adj}$ ......................(1)

Where, Opp = PQ = 6 feet

Adj = QR = x

Equation (1) becomes,

tan 78.96° = $\frac{6}{x}$

5 = $\frac{6}{x}$

x = $\frac{6}{5}$ = 1.2

Shadow length of Kyle, x = 1.2 feet

Result:

The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

Answer from: Quest

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !

Answer from: Quest

step-by-step explanation:

Well i gotta add 10 letter so hopefully this will do it : )

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A lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse an...

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