Question

Questions are in the picture. What would be the answers to them?

Answer 1

2) The length of guy wire = 5.4

3) The length of ramp = 11.1

Explanation:

Points to remember

Hypotenuse² = Base² + Height²

2). To find length of guy wire

From the figure we can see a right angled triangle

Here hypotenuse = length of guy wire

Hypotenuse² = Base² + Height²

= 2.4² + 4.9² = 29.77

Hypotenuse = √29.77 = 5.4

Therefore length of guy wire = 5.4

3)To find the length of ramp

From the figure we can see a right angled triangle

Here hypotenuse = Ramp length

Hypotenuse² = Base² + Height² = 10.5² + 3.5² = 122.5

Hypotenuse =√122.5 = 11.06 = 11.1

Therefor length of ramp = 11.1

Answer 2

2) 5.2 m

3) 11.1 m

Explanation:

Question 2

The given figure is a Right Angled Triangle. From the figure we can see that the length of legs of the triangle is known and the length of hypotenuse is to be found. We can use Pythagoras Theorem to find the length of hypotenuse in a Right Angled Triangle.

According to the theorem:

`\textrm{(Hypotenuse)}^(2)=\textrm{(Leg 1)}^(2)+\textrm{(Leg 2)}^(2)`

From figure we can see the length of legs is 2.4m and 4.9m. Using these values in the above equation, we get:

`\textrm{(Length of Guy Wire)}^(2)=(2.4)^(2)+(4.6)^(2)\\\\ \textrm{(Length of Guy Wire)}^(2)=26.92\\\\ \textrm{(Length of Guy Wire)}=√(26.92)=5.2`

Thus, the length of guy wire will be 5.2m

Question 3:

We are given the rise and the run of the ramp. From the figure we can see that a Right Angled Triangle is being formed and the two known sides form the legs of the triangle and length of the ramp is represented by the hypotenuse. Again here we can use the Right Angled Triangle to find the missing length.

So,

`\textrm{(Length of Ramp)}^(2)=(10.5)^(2)+(3.5)^(2)\\\\ \textrm{(Length of Ramp)}^(2)=122.5\\\\ \textrm{(Length of Ramp)}=√(122.5)=11.1`

Therefore, the length of the ramp is 11.1 meters.