A ladder leans up against a wall and makes a 60 degree angle with the ground. If it reaches 90 ft. up the wall, how long is the ladder? Round to the nearest tenth

The length is approximately 103.92 ft

Step-by-step explanation:

The angle the given ladder makes with the ground = 60°

The height to which the ladder reaches. h = 90 ft.

Assumption;

The angle formed between the wall and ground = 90°

The shape formed by the length, l, of the ladder the height to which the ladder reaches on the wall, h, and the ground, b, is a right triangle, with the length, l, of the ladder facing the 90° angle and the height, h, facing the 60° angle.

By sine rule, we have;

l/sin(90°) = h/sin(60°)

Therefore, the length l = sin(90°) × h/sin(60°) = 1 × 90/(sin(60°)) = 90/((√3)/2) = 2 × 90/√3 ≈ 103.92

The length, l ≈ 103.92 ft.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high