Question

1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the house to the nearest tenth
2. A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15^c irc. Find the distance the bird must fly to be directly above the fish. Round to the nearest tenth

Please help me as soon as possible! I have to get this done before tomorrow! Please helpppp

Answer 1

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

$\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5 feet (to the nearest tenth)$

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

$\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 feet (to the nearest tenth)$

The distance the bird must fly to be directly above the fish is 7.5 feet.