New to the board. Can I get some guidance on a couple of questions?

[lsumatt]

Homework Statement

1) The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is d = 68.0 m. In part a the person is looking at the base of the antenna, and his line of sight makes an angle of θ1 = 35.0° with the horizontal. In part b the person is looking at the top of the antenna, and his line of sight makes an angle of θ2 = 40.0° with the horizontal. How tall is the antenna?

2) The two hot air balloons in the drawing are 48.2 and h = 56.0 m above the ground. A person in the left balloon observes that the right balloon is θ = 13.4° above the horizontal. What is the horizontal distance x between the two balloons?

Homework Equations

for the first i used cos and the second problem i used tan

The Attempt at a Solution

i got 57.1 km for the fist and 235 m for the second. but it says both are wrong

 

[lsumatt]

ok i got #2 but still stuck on 1

 

[Identity]

Let $$a$$ be the height of the base of the antenna off the ground

Let $$b$$ be the height of the top of the antenna off the ground

$$\tan35^{\circ} = \frac{a}{68.0}$$

$$\tan40^{\circ} = \frac{b}{68.0}$$

Now you have to solve for a and b and find $$b-a$$

 

[lsumatt]

thanks!