All categories

3 years ago

A 2.7 meter ladder leans against a house forming

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Answer:

1.35m

Step-by-step explanation:

A 2.7 meter ladder leans against a house forming a 30° angle with the house. Exactly how far is the base of the ladder from the house?

We solve the above question using the Trigonometric function of Sine

cos theta = Opposite/Hypotenuse

From the question

Opposite = Distance of base of the ladder from the house = x

Hypotenuse = Length of the ladder = 2.7m

Theta = 30°

Hence,

sin 30 = x/2.7 m

Cross Multiply

x = sin 30 × 2.7m

x = 1.35m

Option b is correct.

You might be interested in

Write 0.2 as a percentage.

nlexa [21]

To turn a decimal to a percent.....there r 2 ways.

(1) multiply the number by 100 : 0.2 x 100 = 20%
(2) take ur decimal and move it 2 spaces to the right : 0.2 = 20%

3 0

3 years ago

Read 2 more answers

Brian plays a video game in which he starts at 0 points. In round 1, he

irakobra [83]

If your numbers are 4 1/2 and 2 1/2, then at the end of round 2 brian would have lost 7 points in total

4 0

3 years ago

Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit

NeTakaya

Answer:

Pressure is 80,000 pascals.

Step-by-step explanation:

Area:

$= { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}$

Pressure:

${ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}$

4 0

3 years ago

Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hou

zzz [600]

Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20

7 0

3 years ago

Read 2 more answers

Find the coordinates of the midpoint of the segment with endpoints A(-5, 6) and B(3, 2). You must show all work in order to rece

OLga [1]

Midpoint Formula = $M = ( \frac{ x_{1}+x_{2}}{2}) + ( \frac{ y_{1} + y_{2}} {2})$

We are given the coordinates: A(-5,6) and B(3,2)
Plug the values into the equation to get:
M = ((3 - 5)/2, (2 + 6)/2)
Now, just solve it down to get M = (-1,4).

The midpoint of the segment with endpoints A(-5,6) and B (3,2) is (-1,4). Hope this helps ALot and have a wonderful day!

4 0

3 years ago