Question

If θ = 72° and s = 20 cm, what is the value of t to the nearest tenth of a centimeter?

A. 13.8 cm
B. 6.2 cm
C. 21 cm
D. 6.5 cm

Answer 1

c: 21 cm

Explanation:

You know
`sin \theta = \frac s t`. you solve for t and you get
`t = \frac s {sin\theta}`. place numbers.

Answer 2

The length of the segment t in the triangle is 21 cm

How to determine the value of t in the triangle

From the question, we have the following parameters that can be used in our computation:

The triangle

Where, we have

θ = 72° and s = 20 cm

The value of t in the triangle can be calculated using the following sine ratio

sinθ = s/t

Substitute the known values into the equation

sin(72) = 20/t

t = 20/sin(72)

Evaluate

t = 21 cm

Hence, the value of t in the triangle is 21 cm