Because of prevailing winds, a tree grew so that it was leaning 4 degrees from vertical. At a point 40 meters from the tree the angle of elevation to the top of the tree is 30 degree. find the height h of the tree.

Because of prevailing winds a tree grew so that it was leaning 4 degrees from vertical At a point 40 meters from the tree the angle of elevation to the top of t class=

Respuesta :

Answer:

24.12

Step-by-step explanation:

Applying the law of sines, the height (h) of the tree in the given diagram is: 24.1 meters.

What is the Law of Sines?

The law of sines is usually expressed as, a/sin A = b/sin B = c/sin C.

Let:

  • a = h
  • sin A = sin 30°
  • b = 40 m
  • sin B = 180 - 30 - 94 = 56°

Plug in the values

h/sin 30 = 40/sin 56

h = (40 × sin 30)/sin 56

h = 24.1 meters.

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