A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72 degrees. How high does the ladder reach on the building?

Question

Dulcie · Answer

The  height  reached by the  ladder  of height 20-ft. inclined at  72°  is approximately 19.02-ft.    How can the height reached by the ladder be found?    Length of the ladder =  20 feet    Angle  between the  ground  and  ladder  = 72°     Height reached  by the ladder = Required    Solution:  From the definition of the  sine  of an angle, we have;  sin ( theta) =  mathbf{  frac{opposite  : side}{hypotenuse}}     The  length  of the ladder = The hypotenuse side = 20 ft.    The opposite side to the angle 72° = The height reached by the ladder     Which gives;  sin (72 ^  { circ})=   frac{height  : reached}{20}     Height = 20 × sin(72°) = 19.02     The height reached by the ladder on the building ≈  19.02-ft.      Learn more about the  sine of angles  here:  https://brainly.com/question/2920412    #SPJ1

Sigrid · Answer

The  height  of the building is  19.02 feet,  for a  20-ft ladder t o lean against the building at an angle of  72 degrees.     What is an  equation ?  An equation is a n expression  that shows the  relationship  between two or more variables and numbers.  Trigonometric ratio is used to show the  relationship  between the s ides and angles  of a right angle triangle.    Let  h  represent the  height o f the building, hence:  sin(72) = h/20   h = 19.02 feet     The  height  of the building is  19.02 feet,  for a  20-ft ladder t o lean against the building at an angle of  72 degrees.       Find out more on  equation  at: https://brainly.com/question/13763238  #SPJ1

What is an equation?

How can the height reached by the ladder be found?

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