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

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

$3x+y\geq7\\\\x-2y< -4$

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of $3x+y\geq7$ while the dotted line represents $x-2y< -4$ .

Consider the following system of inequalities.

Answer from: Quest

they will manufacture 8496 cars

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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...