Answered

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A tree casts a shadow 31 feet long when the angle of
elevation of the sun is 58º. Find the height of the tree.

A Tree Casts A Shadow 31 Feet Long When The Angle Of Elevation Of The Sun Is 58º Find The Height Of The Tree class=

Sagot :

Answer:

x=24.2198542

ROUND IF NEEDED

Step-by-step explanation:

We are trying to find the height of the tree or the vertical side

We are given

  • The angle of elevation or the angle at the ground ,38
  • The horizontal length, 31.

Since we have a side that is adjacent to that angle and we are trying find backside that us opposite of that angle

we are going to use tangent

[tex] \tan(x) = \frac{opp}{adj} [/tex]

plug 38 in for x or theta, x for opp side and 31 for adjacent side

[tex] \tan(38) = \frac{x}{31} [/tex]

Multiply 31 by both sides to find x

x=24.2198542

ROUND IF NEEDED.

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