This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = $\frac{x}{100}$

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

3 0

3 years ago

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What is the surface area in centimeters of a cube with a side lengths of 1/8 centimeters

ipn [44]

Answer:

1/8 cm = 0.125 cm = 1.25 mm

6 * (1.25 mm)^2 = 9.375 mm^2

4 0

3 years ago

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I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator

lutik1710 [3]

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = $\frac{4}{3}$ × 3.14 × 9.3³

= $\frac{4}{3}$ × 3.14 × 804.357

= $\frac{4(3.14)(804.357)}{3}$

≈ 3367.6 cm³ ( to the nearest tenth )

6 0

2 years ago