Answer:
Ques 1) x=7.884096
Ques 2) x=12.580065
Ques 3) x=8.48048
y=5.29919
Step-by-step explanation:
Ques 1)
Since the triangle is a right angled triangle and we are given the base=x units.
hypotenuse=22 units.
Let the measure of third angle be 'y'.
Also the measure of one angle is 90°, the measure of second angle is 21°, hence the measure of third angle will be:
y+90°+21°=180°.
y=69°.
Hence, Now using the trignometric identity with respect to angle y.
We know that [tex]\ cos(69 \degree)=0.358368=\dfrac{B}{H}[/tex]
Here B=x and H=22
Hence, x=22×0.358368=7.884096.
Ques 2)
We are given ∠S=33°.
so we will use the trignometric identity to find the value of x.
again,
[tex]\ cos(33 \degree)=0.838671=\dfrac{B}{H}[/tex]
Here B=x and H=15 m.
Hence, x=15×0.838671=12.580065 m
Ques 3)
We are given ∠A=32°
we are using trignometric identity to find the value of the variable 'x' and 'y'.
[tex]\ cos(32 \degree)=0.848048=\dfrac{B}{H}[/tex]
[tex]\ sin(32 \degree)=0.529919=\dfrac{P}{H}[/tex]
Here we have B=x,P=y,H=10
Hence, the value of x=0.848048×10=8.48048
and y=0.529919×10=5.29919
