A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet
above ground, as shown below. If the belt makes a 30° angle with the ground,
how far does the bale of hay travel on the conveyor belt?

Given:

A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet  above ground.

The belt makes an 30° angle with the ground.

We need to determine the distance that the bale of hay travel on the conveyor belt.

Distance that the bale of hay travel on the conveyor belt:

The distance that the bale of hay travel on the conveyor belt can be determined using the trigonometric ratio.

Let the distance that the bale of hay travel on the conveyor belt be x.

Thus, we have;

Substituting and

Thus, we get;

Simplifying, we get;

Thus, the value of x is 54 feet.

Hence, the distance that the bale of hay travel on the conveyor belt is 54 feet.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.