Question 1. Enter the ratio equivalent to sin(B)

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

(1) sin(B) = $\frac{side opposite to B}{hypotenuse}$

= $\frac{21}{29}$

= 0.72

(2) sin(A) = $\frac{20}{29}$

sin(A) = 0.689

∠CAB = $sin^{-1}(0.689)$

∠CAB = 43.551°

(3) We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

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