Question

OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.

Answer 1

#1

• tanØ=Perpendicular/Hypotenuse

As here base is given

We need the height or perpendicular

so tangent is the easiest way to be used

#2(No problem given,may refering to part C)

#3

• tanØ=sinØ/cosØ
• tan45=sin45/cos45

as sin45=cos45

• tan45=sin45/sin45
• tan45=1

Put value

• tan45=h/35.6
• h=35.6tan45
• h=35.6ft

Answer 2

A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)

B) tan(45°) = x/35.6

C) x = 35.6 ft

Explanation:

B) From definition:

tan(45°) = opposite/adjacent

opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:

tan(45°) = x/35.6

C) tan(45°) = 1

Then:

1 = x/35.6

35.6 ft = x