Question

QUESTION 43:
At high noon, the sun is almost directly above (about 2.0° from the vertical) and a tall redwood tree casts a
shadow that 10.0 m long. How tall is the redwood Treo?
o 190 m
210 m
290 m
250 m​

Answer 1

Explanation:

Given At high noon, the sun is almost directly above (about 2.0° from the vertical) and a tall redwood tree casts a  shadow that 10.0 m long. How tall is the redwood Treo?

• The rays travel in straight lines. The sun shines from its centre at high noon 2 degree from the vertical axis. From this a triangle is formed and applying the tangent we get  
• Tan 2 degree = 10 m / h
•    Or h = 10 m / tan 2 degree
•   Or h = 290 m
• When the sun is less than 45 degree from the vertical the shadow will be shorter than the height of the object and if the sun is more than 45 degree the shadow will be longer than the height of the object.

Reference link will be

https://brainly.in/question/12274865

Answer 2

The height of the redwood Treo is 290 m

Explanation:

The light always travels in a straight line.

At high noon, the ray from the sun is always 2° from the vertical axis. Thus, the sun rays falls on the tree like the image given below.

tan θ = (Opposite side)/(Adjacent side)

On applying above trigonometric formula, we get,

tan 2 = 10/h

0.035 = 10/h

∴ h = 10/0.035 = 290 m