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Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 33.8, the length of D E is 23.5, and the length of E F is 24.3. Determine the unknown angle measures of △DEF. Round to the nearest degree. M∠D = ° m∠F = °

Respuesta :

Answer:

MD is 46

MF is 44

Step-by-step explanation:

The two unknown angles of the right angled triangle is 44 degree and 46 degree.

Trigonometric ratios

What is Trigonometric ratios/functions?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions or ratios, which are actual functions.

Main Trigonometric ratios:

The six trigonometric ratios are -

  1. sine (sin),
  2. cosine (cos),
  3. tangent (tan),
  4. cotangent (cot),
  5. cosecant (cosec),
  6. secant (sec)

Calculation for the two angles of right triangle

Triangle D E F (attached), angle D E F is a right angle.

hypotenuse D F = 33.8,

length of D E is 23.5

length of E F is 24.3

Step 1: Calculate angle F

Apply sin ratio at angle F

Sin F = DE/DF

Sin F = 23.5/33.8

Sin F = 0.6952

Taking sin inverse of 0.6952

F = 44.04 degrees

Angle F is found to be 44 degrees.

Step 2:  Calculate angle D

Apply sin ratio at angle D

Sin D = EF/DF

Sin D = 24.3/33.8

Sin D = 0.7189

Taking sin inverse of 0.7189

D = 46 degrees

Angle D is found to be 44 degrees.

To know more about how to use trigonometric formulas?, here

https://brainly.com/question/24349828

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