Question

Would be much appreciated for some help on these:)

Answer 1

Question 1: The indicated angle is 30°

Question 2: The indicated angle is 44°

Question 3: The indicated angle is 39°

Question 4: The indicated angle is 18°

Question 5: The indicated angle is 37°

Question 6: The indicated angle is 17°

Step-by-step explanation:

As all the triangles are right-angled triangle, trigonometric ratios can be used to find the indicated angles.

Let x be the angle

Question 1:

The according to the angle

P = 22

B = 38

Tangent ratio uses both base and perpendicular so,

$tan\ x=\frac{P}{B}\\tan\ x= \frac{22}{38}\\tan\ x=0.5789\\x=tan^{-1} (0.5789}\\x = 30.06\\x=30$

The indicated angle is 30°

Question 2:

According to the angle,

P = 28

B = 29

Again we will use tangent

$tan\ x =\frac{P}{B}\\tan\ x=\frac{28}{29}\\tan\ x=0.9655\\x=tan^{-1}(0.9655)\\x=43.99\\x=44$

The indicated angle is 44°

Question 3:

According to angle,

P = 22

H = 35

$sin\ x=\frac{P}{H}\\sin\ x =\frac{22}{35}\\sin\ x=0.6286\\x=sin^{-1}(0.6286}\\x=38.94\\Rounding\ off\ to\ nearest\ degree\\x=39$

The indicated angle is 39°

Question 4:

According to angle,

B = 3

H = 9

We will use cos

$cos\ x =\frac{B}{H}\\cos\ x=\frac{3}{9}\\cos\ x=0.3333\\x=cos^{-1}(0.3333)\\x=18.43\\Rounding\ off\ to\ nearest\ degree\\x=18$

The indicated angle is 18°

Question 5:

According to indicated angle,

B =35

H =46

$cos\ x =\frac{B}{H}\\cos\ x=\frac{35}{46}\\cos\ x=0.7609\\x=cos^{-1}(0.7609)\\x=37.2\\Rounding\ off\ to\ nearest\ degree\\x=37$

The indicated angle is 37°

Question 6:

According to angle,

P = 15

H = 49

$sin\ x=\frac{P}{H}\\sin\ x =\frac{15}{49}\\sin\ x=0.3061\\x=sin^{-1}(0.3061}\\x=17.02\\Rounding\ off\ to\ nearest\ degree\\x=17$

The indicated angle is 17°

Keywords: Trigonometric Ratios, Right angled triangle

Learn more about right angled triangle at:

• brainly.com/question/96882
• brainly.com/question/96535

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