Question

Given right triangle CAT such that m C = 16.7° and a = 49, which of the following
statements are true? Round to the nearest hundredth. Check all that apply.
18.70
a = 49

Answer 1

Question:

Given right triangle CAT such that mC = 16.7 and a = 49, which of the following statements are true? Round to the nearest hundredth. Check all that apply.

A. angle T = 73.3°

B. t = 34.92

C. c= 14.08

D. t = 46.93

Answer:

The true statements are

A. angle T = 73.3°

C. c = 14.08

Step-by-step explanation:

Given:

$m\angle C = 16.7^{\circ}$

a = 49

Solution:

In  a triangle the sum of all its angles is 180 degrees

so in the triangle CAT

$\angle C +\angle A+\angle T =180^{\circ}$

$16.7^{\circ} + 90^{\circ} +\angle T =180^{\circ}$

$106.7^{\circ} +\angle =180^{\circ}$

$\angle T =180^{\circ} - 106.7^{\circ}$

$\angle T =73.3^{\circ}$

Also we can find the length of c by

$sin(\theta) = \frac{opposite}{hypotenuse}$

$Sin(16.7) = \frac{c}{49}$

$0.2873 \times 49 = c$

c= 14.08

Answer 2

Answer:

A,C,D

Step-by-step explanation: