The diagram shows a right-angled triangle. to 5 cm 11 cm Find the size of angle x. Give your answer correct to 1 decimal place.

Takayuki asked Jul 11, 2023

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38 votes

The diagram shows a right-angled triangle.

to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Takayuki asked Jul 11, 2023

2.9k points

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17 votes

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°

Josephting answered Jul 16, 2023

2.9k points

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