The length of a shadow of a building is 28 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building.

22.6 metres to 1 decimal place

Step-by-step explanation:

This question requires Pythagoras. The length is the a value and the distance from the top of the building to the tip of the shadow is the c value so,

28² + b² = 36²

→ Simplify

784 + b² = 1296

→ Minus 784 from both sides to isolate b²

b² = 512

→ Square root both sides to isolate b

b = 22.627416998

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for