Finding the tangent of angle E
2 answers:
Answer:
tan(E) =
Step-by-step explanation:
Given: ED = 4 and CD = 6
Step 1 : Find CE
ED² = CE² + CD²
(4√6)² = (CE)² + (6√2)²
96 = CE² + 72
24 = CE²
CE = 2√6
Step 2 : Find ∠E using side lengths
Based on our leg lengths : 6√2 & 2√6 , we can conclude that this is a
30-60-90 triangle (the sqaures are opposites yk)
Because 6√2 is the larger leg, and ∠E is opp side of CD,
∠E = 60
From there all you do is find the tangent with a calculator "tan(60)"
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Answer:
6895ft
Step-by-step explanation:
Given data
The coordinates
City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2
Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8
Required:
the distance between the two points
Applying the Pythagorean theorem as
we can find the distance by substituting the given point coordinates
in feet, we are told that a unit is 500 ft
then 13.79 will be 500*13.79
=6895.107ft
=6895ft