From a distance of 110 m, the angle of elevation to the top spire of a tower is 35°.
1 answer:
Answer:
77 m
Step-by-step explanation:
The geometry can be modeled by a right triangle. The distance from the viewpoint to the base of the tower is 110 m, the leg of the triangle adjacent to the angle. The height of the spire is the leg of the triangle opposite the given angle. The relevant trig relation is ...
Tan = Opposite/Adjacent
__
Using the given numbers, we find ...
tan(35°) = height/(110 m)
height = (110 m)tan(35°) = (110 m)×0.700208 ≈ 77.0 m
The height of the tower is about 77 meters.
You might be interested in
Answer:
Step-by-step explanation:
Answer: 5 seconds
<u>Step-by-step explanation:</u>
Maximum height is the y-value of the vertex. The number of seconds at maximum height is the x-value (aka axis of symmetry).
h(x) = -2x² + 20x + 48
a=-2 b=20 c=48
Axis of symmetry: x =
=
=
= 5