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2 years ago

Cape Beale Lighthouse, BC, is

Mathematics

1 answer:

Elena L [17]2 years ago

5 0

Answer:

Unsafe area

Step-by-step explanation:

Data provided in the question

51 m above sea level

The Safe distance from cliff = 75 m

The 10 m above ground and angle of depression of 50°

Based on the above information,

The equation is as follows

tan 50 = (51 + 10) ÷ x

where

x = distance of the boat

Now after solving this,

x = 51.2 m

Therefore we conclude that the boat is in an unsafe area

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Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

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$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$