Answer:
2).X= 3.464 m
3).X= 86.60m
4).X= 51.96 m
5).X= 30 m
6). X=3.193 m
7). X= 126.2 m
8).79.41m = x
9). 14.3km = x
10). 173.21 m= x
Step-by-step explanation:
For question 2
Distance of ladder from the foot
Tan60= 6/x
X= 6/tan 60
X= 3.464 m
For question 3
The height of the wall x is
Sin 60= x/100
X= 100*0.8660
X= 86.60m
Question 4
The distance between tree and tower is x
Tan30 = 30/x
X= 30/tan 30
X= 30/0.5774
X= 51.96 m
Question 5
If TanA= 3/4
And base = 40 m
TanA= x/40
Equating
X/40= 30/40
X= 30 m
Question 6
The length of ladder= x
Cos 20 = 3/x
X= 3/cos20
X=3.193 m
Question 7
Length of the string= x
Sin 31= 65/x
X= 65/sin 31
X= 126.2 m
Question 8
Height of kite= x
Tan ∅ = 15/8
∅= Tan^-1(15/8)
∅=61.93°
Sin∅= x/90
Sin61.93 *90= x
79.41m = x
Question 9
Height above ground= x
Tan 50= x/12
Tan 50 * 12 = x
14.3 km = x
Question 10
Height of balloon above ground= x
Sin60= x/200
Sin 60 *200 = x
173.21 m= x