Photo AI

Rosie and Gary are out for a walk and decide to estimate the height of a local tower - Junior Cycle Mathematics - Question 7 - 2017

Question icon

Question 7

Rosie-and-Gary-are-out-for-a-walk-and-decide-to-estimate-the-height-of-a-local-tower-Junior Cycle Mathematics-Question 7-2017.png

Rosie and Gary are out for a walk and decide to estimate the height of a local tower. They measure the tower's shadow and find that it is 30 shoe lengths long. They ... show full transcript

Worked Solution & Example Answer:Rosie and Gary are out for a walk and decide to estimate the height of a local tower - Junior Cycle Mathematics - Question 7 - 2017

Step 1

Use the information to set up a ratio.

96%

114 rated

Answer

Let the height of the tower be denoted as hh. We can set up the following ratio using similar triangles since both the tower and Rosie cast shadows under the same sunlight:

h30=1404\frac{h}{30} = \frac{140}{4}

Step 2

Solve the equation for $h$.

99%

104 rated

Answer

Now, cross-multiply to solve for hh:

h=30×1404h = 30 \times \frac{140}{4}

Calculating this gives:

h=30×35=1050h = 30 \times 35 = 1050

Step 3

Convert the height to metres.

96%

101 rated

Answer

Since the height is given in centimeters, convert it to metres by dividing by 100:

h=1050100=10.5 mh = \frac{1050}{100} = 10.5 \, \text{m}

Join the Junior Cycle students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;