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The top of a hill rises 274 feet above Checkpoint 1.

What is the altitude of the top of the hill? checkpoint 1 = -189

User Thuener
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1 Answer

5 votes
5 votes

Answer:

Altitude is 215.7ft

c^2 = 215.7ft

Explanation:

Altitude means the line of vertex in a triangle that makes a right angle.

Such line forms a perpendicular line to one of the lines within a triangle and either makes a new triangle with 1 line or is a third line of a triangle and is therefore a smaller size to the slope.

Both this found measurement with the other small side must total more than the slope, but when all sides given are squared they must equal the amount of the slope or be the difference when the other perpendicular line is subtracted from the slope, if this was not true a triangle would have wrong term names.

Side^2 + base^2 = slope^2

Vertex^2 + perpendicular^2 = slope^2

= a^2 + b^2 = c^2

So here when given a right angle measure we can use Pythagoras theorem.

274^2 - 169^2 = c^2

sq rt 75076 - sq rt 28561 = c^2

sq rt 46515 = 215.673364 = 215.7

c^2 = 215.7ft

Bare in mind there is no diagram if checkpoint 1 is halfway between the slope then it is a different method and repeat of two slopes.

Therefore the slopes need to be identified if the main slope is split by the vertex line given.

User Mohammad Rahimi
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