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Find the altitude of the triangle.
30 degrees
Hypotenuse of 14

Find the altitude of the triangle. 30 degrees Hypotenuse of 14-example-1

2 Answers

12 votes
It is a 30 60 90 triangle, therefore you should use the 30:60:90 triangle rule; 1: sqrt(3) : 2

Since in this triangle the side opposite of the 90 degree angle is 14, we know the side opposite the 30 degree angle is 14/2 = 7
Then, we multiply 7 by sqrt(3) and get 7sqrt(3) as the side opposite the 60 degree angle.
User Theolodus
by
3.3k points
12 votes

Answer:

Approx. 12.124 units tall

Explanation:

Since you need to find the height (which is adjacent to the given angle), you need to use cosine (adj. over hypotenuse).

cos(30) = x/14

Multiply both sides by 14:

14cos(30) = x

Hope this helps :)

User Ourmaninamsterdam
by
3.1k points