SOLUTION: What would be the height of a tree casting a 50 metre shadow with the sun at 36 degrees ?

Question 535587: What would be the height of a tree casting a 50 metre shadow with the sun at 36 degrees ?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

The vertical height of the tree and the horizontal shadow are the legs of a right triangle with a 36 degree angle at the end of the shadow.
The ratios of the lengths of the sides of right triangles are the trigonometric ratios. The one useful here is

The tangent of 36 degrees can be found through tables, calculators, or computer programs. You have to be careful because there are different units for measuring angles, so you have to make sure that you and your calculator (or table, or computer) are talking in the same units.

Since the shadow was adjacent to that angle and the tree height was across/opposite,
--->
RELATED QUESTIONS
The sun rises at 5:00 AM and is directly overhead at 11:00 AM. At what time in the... (answered by stanbon)

A tree of height 4.5 m casts a shadow of 3.0 m then the height ,in metres, of a tree... (answered by nerdybill)

If a tree has a height of 50 meters, and projects a shadow of 17 meters along the ground, (answered by stanbon)

A 6.00-foot person is casting a shadow of 4.20 feet. What time of the morning is it if... (answered by Cromlix)

If a tree casts a shadow of 40m while the angle of elevation of the sun is 50 degrees,... (answered by scianci)

a 109-ft tree casts a shadow that is 130-ft long. What is the angle of elevation of the... (answered by mananth)

The sun is elevated at 45 degrees and a tree cast a shadow of 66 ft. How tall is the... (answered by Alan3354)

a flag pole is casting a 20ft shadow. the flag pole measures 16ft find angle evaluation... (answered by Cromlix)

A person 5ft 8in tall s casting a shadow of 3ft 4in. What is the angle (to the nearest... (answered by mananth)