The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
1 answer:
Answer:
- 15 m
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
You might be interested in
Assume that,
The two angles of one triangle are congruent to two angles of a second triangle.
To prove: The third angles of the triangles are congruent.
Since, two angles of one triangle are congruent to two angles of a second triangle.
Therefore,
Adding these two we get,
Cancelling 180 on both sides, we get
Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.