Question

A 36-foot-tall tree that is leaning toward the sun casts a 40-foot-long shadow when the sun is at a

41° angle of elevation. Approximately how many degrees does the tree lean?
a. 1°
c. 4°
b. 2°
d. 7°

Answer 1

64degrees

Explanation:

Give the following

Height of tree H = 36feet

length of the shadow L = 40feeet

Requires

Angle of eleation

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin theta = H/L

Sin theta = 36/40

SIn theta = 0.9

theta = arcsin0.9

theta = 64.16

Hence the required angle is 64degrees