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PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*

1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)

PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY* 1. Find the measure of the side indicated-example-1
PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY* 1. Find the measure of the side indicated-example-1
PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY* 1. Find the measure of the side indicated-example-2
User Selmaril
by
3.0k points

2 Answers

12 votes
12 votes

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

have a nice day :)

User Modermo
by
3.1k points
21 votes
21 votes

Explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so


\cos(ø)=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so


\tan(ø)=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

User Odessa
by
2.5k points