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PLEASE HELP :) theres pictures!

DEF is a right triangle. If FE = 8 and DE = 6, find DF.

https://dlap.gradpoint.com/Resz/~UE3lAAAAAAwCeS9kCIuzkA.S2012iS8Y_gEZND_RNcqHB/8067296,9E2,119,0,0,0,0/Assets/testitemimages/geometry_b/right_triangles_and_trigonometry/mc001-1.jpg



100

10

48

28


Find the value of y to the nearest tenth.

https://dlap.gradpoint.com/Resz/~UE3lAAAAAAwCeS9kCIuzkA.S2012iS8Y_gEZND_RNcqHB/8067296,9E2,119,0,0,0,0/Assets/testitemimages/geometry_b/right_triangles_and_trigonometry/mc080-1.jpg



6.4

6.0

8.0

7.5



To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?

https://dlap.gradpoint.com/Resz/~UE3lAAAAAAwCeS9kCIuzkA.S2012iS8Y_gEZND_RNcqHB/8067296,9E2,119,0,0,0,0/Assets/testitemimages/geometry_b/right_triangles_and_trigonometry/mc091-1.jpg


41 mi

54 mi

46 mi

82 mi



The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.

https://dlap.gradpoint.com/Resz/~UE3lAAAAAAwCeS9kCIuzkA.S2012iS8Y_gEZND_RNcqHB/8067296,9E2,119,0,0,0,0/Assets/testitemimages/geometry_b/right_triangles_and_trigonometry/mc093-1.jpg



17.4

5.0

7.7

14.7

Respuesta :

Given we don't know which is the hypotenuse, either FE is, or DF is. Note it can't be DE as the hypotenuse is the longest side and you already know FE is longer than DE. 

According to pythagoras: 
either FE² = DE² + DF² 
or DF² = DE² + FE² 

8² = 6² + x² 
x² = 64 - 36 
x = √28 = 5.291... 
Not one of the given answers so... 

x² = 6² + 8² 
x² = 36 + 64 
x = √100 = 10 

answer: B) 10  for the frist one