A tree and its shadow is proportional to Harry and his shadow. If Harry is 6 feet tall and his shadow

Mathematics

2 answers:

Alinara [238K]4 years ago

8 0

Answer:12

Step-by-step explanation:

Zigmanuir [339]4 years ago

6 0

Answer: the height of the tree would be 10 feet.

Step-by-step explanation:

A tree and its shadow is proportional to Harry and his shadow. This means that

Height of the tree/height of the tree's shadow = Harry's height/height of his shadow

If Harry is 6 feet tall, his shadow is 9 feet and the tree's shadow is 15 feet long, then the height of the tree would be

6/9 = height of tree/15

height of tree = (6 × 15)/9 = 10 feet.

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Alenkinab [10]

x =14

Answer:

$m\angle ABC = 51°$

Step-by-step explanation:

11. By inscribed angle theorem:

$83°=\frac{1}{2} \times (9x+40)°\\\\83°\times 2 = (9x+40)°\\166°= (9x+40)°\\166 = 9x + 40\\166 - 40 = 9x\\126 = 9x\\\\x = \frac{126}{9}\\\\\huge \red {\boxed {x = 14}}$

12. Again by inscribed angle theorem:

$(5x+11)°=\frac{1}{2} \times (16x-26)°\\\\2\times (5x+11)°= (16x-26)°\\(10x+22)°= (16x-26)°\\10x + 22 = 16x - 26\\22+26 = 16x - 10x\\48= 6x\\\\x = \frac{48}{6}\\\\\huge \purple{\boxed {x = 8}}\\m\angle ABC = (5x+11)°\\m\angle ABC = (5\times 8+11)°\\m\angle ABC = (40+11)°\\\huge \orange{\boxed {m\angle ABC = 51°}} \\$