The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.
Therefore the angle of depression from the lifeguard to the boy is 24°.
Answer:
X = 6
Step-by-step explanation:
DU = DU .....(1)
DV =DW ......(2)
angle VDU = angle WDU .......(3)
so triangle VDU and triangle WDU are Congruent Triangles
thus VU = WU
we solve : 9x + 1 = 7x + 13 , x = 6
Answer:
x=5
y=30
x=15
Step-by-step explanation:
y=3x=15, then x=15/3, x=5
x=10, then y=3x=3*10=30
y=3x=45, then x=45/3, x=15
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
