All categories

2 years ago

the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole

Mathematics

1 answer:

AleksAgata [21]2 years ago

7 0

Answer:

10√3m

Step-by-step explanation:

Given :-

Angle of elevation = 60°
Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

You might be interested in

Are 1/2 and 12/24 and 13/26 equivalent?

vesna_86 [32]

Yes because 12 is a half of 24 and 13 is a half of 26 which all equal to 1/2 . So the answer is YES

4 0

2 years ago

The final value of a painting after its initial value, m, increases by 2/5

Dennis_Churaev [7]

Your answer is D. 2/5m

This expression means 2/5 times the initial value (m).

3 0

3 years ago

Help me please

kari74 [83]

Answer:

$\frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2$

6 0

2 years ago

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the

son4ous [18]

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

8 0

2 years ago

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=

elena-14-01-66 [18.8K]

5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).

3 0

2 years ago