help in the su
nlight, tick 7 ft tall casts a shadow 3ft long. At the same time a nearby tree casts a shadow 11 ft long. how tall is the three? round to the nearest tenth.

Question

help in the su
nlight, tick 7 ft tall casts a shadow 3ft long. At the same time a nearby tree casts a shadow 11 ft long. how tall is the three? round to the nearest tenth.

directrix · Answer

Triangle I:
tan x = 7/3
tan x = 2.333
x = 66.8 degrees

Note: The tangent function of an acute angle of a right triangle is defined to be the opposite leg length over the adjacent leg length
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Triangle II:

tan 66.8 degrees = T/11 where T is the length of the tree
T = 11 (tan 66.8)
T = 11 ( 2.333)
T = 25.7 feet to the nearest tenth

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