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A mathematical journey of trigonometry.Few daily life applications of trigonometry.
We know that opposite/hypotenuse is sinθ,which is 100/200 and that will be 0.5. So the angle angle from the ground to the top of the house will be 30°.
Let's find out the angle from the ground to the top of the house.
We know that perpendicular/base is tanθ, which is 15/15=1. So the angle from the river bank will be 45°.
Let us find the angle form the other river bank to the top of the tree.
We know that sin=perpendicular/hypotenuse, which is 1/2=20/hypotenuse(30°=1/2) . So the length of the door is 10cm.
Let us now find the lenght of the door.The angle from the water cooler to the door is 30° and the distance from the water cooler to the top the door is 20cm.
We know that sinθ=perpendicular/hypotenuse which is sin60°=3/hypotenuse that is √3/2 = 3/hypotenuse. so the distance from the ground to the top of the school is 2√3m.
Let us now find out the length from the ground to the top of the school.