The absolute value of any negative number is greater than zero True or False

An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

or

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

A spherical balloon has a circumference of 25 cm.

ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

C = 2πr
25 = 2 x 3.14 x r
r = 25 / 6.28
r = 3.98 cm ≅ 4 cm

Surface Area

4πr²
4 x 3.14 x 4 x 4
3.14 x 64
200.96
201 cm²

Volume

4/3πr³ = 4πr² x r/3
201 x 4/3
67 x 4
268 cm³

4 0

2 years ago

Which object has a mass of approximately 450 grams?

rewona [7]

I would say that the tree is 450 grams

4 0

3 years ago

Read 2 more answers

a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo

allochka39001 [22]

The water will last for 3 days

Solution:

Given that, village having a population of 4000, requires 150 litres of water per head per day

Let us first find the volume of tank

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

$volume\ of\ tank = length \times breadth \times height$

$Volume\ of\ tank = 20 \times 15 \times 6 = 1800$

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

Therefore, water required for 4000 people per day is:

$\rightarrow 4000 \times 150 = 600000 \text{ liters }$

Convert to meters

$600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3$

How many days will the water of this tank last?

$\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}$

$\text{Number of days water will last } = \frac{1800}{600} = 3$

Thus the water will last for 3 days

5 0

3 years ago

a 28 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi

klasskru [66]

Where x is the length of the first piece
$x + 2x + 6x + 1 = 28 \\ \\ 9x = 27 \\ \\ x = 3$
so the first piece is 3 inches, the second is 6 inches and the third is 19 inches

3 0

3 years ago