An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?

Answers

Answer 1

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.


Related Questions

find the area plz and thank u have explanation

Answers

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

as a ratio in simplest form, 33.5% is express as

Answers

Answer:

335/1000

Step-by-step explanation:

33.5% is .335 so 335/1000 is 33.5%

335/1000 is the answer

If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)

Answers

Answer:  2144

Step-by-step explanation:

v = 4/3pir³

v = 4/3 (3.14) (8)³

v = 4/3 (3.14)(512)

v ≈ 2144

Answer:

2,143.57 cubit units.

Step-by-step explanation:

To find the volume of the sphere, use the formula given below.

Volume = 4/3π r³

Use this formula, the value given for the radius, and 3.14 for  to find the volume.

Volume = 4/3π r³

             ~~ 4/3 (3.14) (8 units)³

             ~~ 2,143.57 cubic units

Therefore, the approximate volume of the sphere is 2,143.57 cubic units.

"Expand the brackets and simplify" (please i need help asap)​

Answers

ok, b)

you can times anything inside bracket by 8. so, 8r -40  + 12

You can simplify to 8r - 28.

d)

You can rearrange it to 6a + 12a -12/3 -15/3

= 18a - 27/3

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

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